Publikationen
List of Publications as a pdf file
My papers on the arXiv
My papers on MathSciNet
My papers on Google scholar
My papers on ORCID
My papers on SCOPUS
My papers on ZORA (Zurich Open Repository and Archive)
List of papers
Alberto Cattaneo, Filippo Fila-Robattino (2026). The Reduced Phase Space of N=1,D=4 Supergravity in the BV-BFV formalism, 57 pages [arxiv] [pdf]
Alberto Cattaneo (2025). Surface observables, 2-knot invariants, and nonabelian electric fluxes. 38 pages, 10 figures [arxiv] [pdf]
G. Canepa, A. S. Cattaneo (2025). BV pushforward of Palatini–Cartan gravity. 28 pages [arxiv] [pdf]
G. Canepa, A. S. Cattaneo (2025). 4D Palatini–Cartan gravity in hamiltonian form. 19 pages; to appear in Adv. Theor. Math. Phys. [arxiv] [pdf]
A. S. Cattaneo, F. Fila-Robattino (2025). BV description of N=1, D=4 supergravity in the first order formalism. 32 pages [arxiv] [pdf]
A. S. Cattaneo, Sh. Jiang (2025). Equivariant localization in Batalin–Vilkovisky formalism . Diff. Geom. Appl.. Differential Geometry and Its Applications 100 (2025) 102265, 13 pages, 100, 102265. doi: doi.org/10.1016/j.difgeo.2025.102265 [arxiv] [pdf]
M. L. Bottoni, A. S. Cattaneo, E. Saçıkara (2025). Teaching "Foundations of Mathematics" with the LEAN Theorem Prover. 33 pages [arxiv] [pdf]
A. S. Cattaneo, N. Moshayedi, A. Smailovic Funcasta (2025). 3D supergravity in the Batalin–Vilkovisky formalism. Ann. Henri Poincaré (2025), 21 pages. SharedIt. doi: https://doi.org/10.1007/s00023-025-01588-6 [arxiv] [pdf]
A. S. Cattaneo, N. Moshayedi (2025). Equivariant BV-BFV formalism . J. Geom. Phys.. Journal of Geometry and Physics 218 (2025) 105684, 26 pages, 218, 105684. doi: 10.1016/j.geomphys.2025.105684 [arxiv] [pdf]
A. S. Cattaneo, F. Fila-Robattino, V. Huang, M. Tecchiolli (2025). Gravity coupled with scalar, SU(n), and spinor fields on manifolds with null-boundary. Adv. Theor. Math. Phys.29, 1773–1825 (2025). doi: 10.4310/ATMP.251118003859 [arxiv] [pdf]
A. S. Cattaneo, L. Menger, M. Schiavina (2024). Gravity with torsion as deformed BF theory. Class. Quant. Grav. 41, 155001 (2024), 60 pages. doi: 10.1088/1361-6382/ad5135 [arxiv] [pdf]
G. Canepa, A. S. Cattaneo, F. Fila-Robattino, M. Tecchiolli (2024). Boundary structure of the standard model coupled to gravity. Ann. Henri Poincaré (2024); 53 pages. doi: 10.1007/s00023-024-01485-4 [arxiv] [pdf]
A. S. Cattaneo, P. Mnev, M. Schiavina (2025). BV quantization. Encyclopedia of Mathematical Physics (Second Edition), Volume 5, 543–555 (2025). doi: https://doi.org/10.1016/B978-0-323-95703-8.00095-1 [arxiv] [pdf]
A. S. Cattaneo (2025). Phase space for gravity with boundaries. Encyclopedia of Mathematical Physics (Second Edition), Volume 1, 480–494 (2025). doi: https://doi.org/10.1016/B978-0-323-95703-8.00052-5 [arxiv] [pdf]
H. Bursztyn, A. S. Cattaneo, R. A. Mehta, M. Zambon. Graded geometry and generalized reduction. 74 pages [arxiv] [pdf]
A. S. Cattaneo (2023). The canonical BV Laplacian on half-densities. Reviews in Mathematical Physics 35, 2330003 (2023); 24 pages. doi: 10.1142/S0129055X23300030 [arxiv] [pdf]
F. Bonechi, A. S. Cattaneo, M. Zabzine (2023). Towards equivariant Yang–Mills theory. J. Geom. Phys. 189, 104836 (2023), 27 pages . doi: 10.1016/j.geomphys.2023.104836 [arxiv] [pdf]
A. S. Cattaneo, P. Mnev (2023). A note on gluing via fiber products in the (classical) BV-BFV formalism. J. Geom. Phys. 192, 104956 (2023), 25 pages . doi: 10.1016/j.geomphys.2023.104956 [arxiv] [pdf]
G. Canepa, A. S. Cattaneo, F. Fila-Robattino. Boundary structure of gauge and matter fields coupled to gravity. Adv. Theor. Math. Phys. 28, 1647–1727 (2024). doi: 10.4310/ATMP.241030222446 [arxiv] [pdf]
G. Canepa, A. S. Cattaneo (2024). Corner structure of four-dimensional general relativity in the coframe formalism. Ann. Henri Poincaré 25, 2585–2639 (2024). doi: 10.1007/s00023-023-01360-8 [arxiv] [pdf]
F. M. Castela Simão, A. S. Cattaneo, M. Schiavina (2023). BV equivalence with boundary. Lett. Math. Phys. 113, 25 (2023), 91 pages. doi: 10.1007/s11005-023-01646-2 [arxiv] [pdf]
A. S. Cattaneo, P. Mnev, K. Wernli. Quantum Chern–Simons theories on cylinders: BV-BFV partition functions. Commun. Math. Phys. 398, 133–218 (2023). doi: 10.1007/s00220-022-04513-8 [arxiv] [pdf]
A. S. Cattaneo, P. Mnev, K. Wernli. Constrained systems, generalized Hamilton–Jacobi actions, and quantization. J. Geometric Mechanics 14, 179–272 (2022). doi: 10.3934/jgm.2022010 [arxiv] [pdf]
G. Canepa, A. S. Cattaneo, M. Tecchiolli. Gravitational constraints on a lightlike boundary. Ann. Henri Poincaré 22, 3149–3198 (2021) . doi: 10.1007/s00023-021-01038-z [arxiv] [pdf]
A. S. Cattaneo, B. Dherin, A. Weinstein (2021). Symplectic microgeometry IV: Quantization. Pacific Journal of Math. 312, No. 2, 355–399 (2021). doi: 10.2140/pjm.2021.312.355 [arxiv] [pdf]
G. Canepa, A. S. Cattaneo, M. Schiavina. General Relativity and the AKSZ construction. Commun. Math. Phys. 385, 1571–1614 (2021). doi: 10.1007/s00220-021-04127-6 [arxiv] [pdf]
G. Canepa, A. S. Cattaneo, M. Schiavina. Boundary structure of general relativity in tetrad variables. Adv. Theor. Math. Phys. 25, 327–377 (2021). doi: 10.4310/ATMP.2021.v25.n2.a3 [arxiv] [pdf]
F. Bonechi, A. S. Cattaneo, J. Qiu, M. Zabzine. Equivariant Batalin–Vilkovisky formalism. J. Geom. Phys. 154, 103720 (2020), 13 pages. doi: 10.1016/j.geomphys.2020.103720 [arxiv] [pdf]
A. S. Cattaneo, N. Moshayedi (2020). Introduction to the BV-BFV formalism. Reviews in Mathematical Physics Vol. 32 (2020) 2030006 (67 pages). doi: 10.1142/S0129055X2030006X [arxiv] [pdf]
A. S. Cattaneo, T. Shimizu. A note on the Θ-invariant of 3-manifolds. Quantum Topol. 12, 111–127 (2021). doi: 10.4171/QT/146 [arxiv] [pdf]
A. S. Cattaneo, I. Contreras Palacios (2021). Split canonical relations. Ann. Henri Lebesgue 4, 155–185 (2021). doi: 10.5802/ahl.69 [arxiv] [pdf]
A. S. Cattaneo, D. Fiorenza, R. Longoni (2025). Graded Poisson algebras. Encyclopedia of Mathematical Physics (Second Edition), Volume 3, 520–528 (2025). doi: 520-528 [arxiv] [pdf]
A. S. Cattaneo, P. Mnev, K. Wernli. Theta invariants of lens spaces via the BV-BFV formalism. Progress in Math. 340, 71–110 (2021). doi: 10.1007/978-3-030-78148-4_3 [arxiv] [pdf]
A. S. Cattaneo, N. Moshayedi, K. Wernli. On the globalization of the Poisson Sigma Model in the BV-BFV formalism. Commun. Math. Phys. 375, 41-103 (2020). doi: 10.1007/s00220-020-03726-z [arxiv] [pdf]
A. S. Cattaneo, N. Moshayedi, K. Wernli. Globalization for Perturbative Quantization of Nonlinear Split AKSZ Sigma Models on Manifolds with Boundary. Commun. Math. Phys. 372, 213-260 (2019) . doi: 10.1007/s00220-019-03591-5 [arxiv] [pdf]
F. Bonechi, A. S. Cattaneo, R. Iraso, M. Zabzine (2020). Observables in the equivariant A-model. Lett. Math. Phys. 110, 695–711 (2020) . doi: 10.1007/s11005-019-01236-1 [arxiv] [pdf]
A. S. Cattaneo (2017). Integral invariants of 3-manifolds (Commentary on [111], [114]). In: Tu L. (eds) Raoul Bott: Collected Papers. Contemporary Mathematicians. Birkhäuser, 101-102 (2017). doi: 10.1007/978-3-319-51781-0_13
A. S. Cattaneo, P. Mnev, N. Reshetikhin. Poisson sigma model and semiclassical quantization of integrable systems. Reviews in Mathematical Physics 30, 93-118 (2018) . doi: 10.1142/S0129055X18400044 [arxiv] [pdf]
A. S. Cattaneo, M. Schiavina, I. Selliah (2018). BV-equivalence between triadic gravity and BF theory in three dimensions. Lett. Math. Phys. 108, 1873–1884 (2018). doi: 10.1007/s11005-018-1060-5 [arxiv] [pdf]
A. S. Cattaneo, M. Schiavina. BV-BFV approach to general relativity: Palatini–Cartan–Holst action. Adv. Theor. Math. Phys. 23, 1801-1835 (2019). doi: 10.4310/ATMP.2019.v23.n8.a3 [arxiv] [pdf]
A. S. Cattaneo, M. Schiavina (2018). The reduced phase space of Palatini–Cartan–Holst theory. Ann. Henri Poincaré 20(2), 445-480 (2019) https://doi.org/10.1007/s00023-018-0733-z. doi: 10.1007/s00023-018-0733-z [arxiv] [pdf]
A. S. Cattaneo, P. Mnev, N. Reshetikhin. A cellular topological field theory. Commun. Math. Phys. 374, 1229–1320 (2020). doi: 10.1007/s00220-020-03687-3 [arxiv] [pdf]
A. S. Cattaneo, A. Perez. A note on the Poisson bracket of 2d smeared fluxes in loop quantum gravity. Classical and Quantum Gravity 34 (2017), 107001 . doi: 10.1088/1361-6382/aa69b4 [arxiv] [pdf]
A. S. Cattaneo, N. Moshayedi, K. Wernli (2016). Relational symplectic groupoid quantization for constant Poisson structures. Lett. Math. Phys. 107, 1649–1688 (2017). doi: 10.1007/s11005-017-0959-6 [arxiv]
F. Bonechi, A. S. Cattaneo, R. Iraso (2016). Comparing Poisson Sigma Model with A-model. JHEP 10 (2016) 133, 11 pages. . doi: 10.1007/JHEP10(2016)133 [arxiv] [pdf]
A. S. Cattaneo, M. Schiavina (2017). On time. Lett. Math. Phys. 107, 375–408 (2017); on Springer Nature. . doi: 10.1007/s11005-016-0907-x [arxiv] [pdf]
A. S. Cattaneo, P. Mnev, N. Reshetikhin (2016). Perturbative BV theories with Segal-like gluing. 8 pages [arxiv] [pdf]
A. S. Cattaneo, P. Mnev, K. Wernli (2017). Split Chern-Simons theory in the BV-BFV formalism. 20 pages, 2 figures; in Quantization, Geometry and Noncommutative Structures in Mathematics and Physics, Springer (2017). doi: 10.1007/978-3-319-65427-0_9 [arxiv] [pdf]
A. S. Cattaneo, M. Schiavina (2015). BV-BFV approach to general relativity: Einstein–Hilbert action. J. Math. Phys. 57, 023515 (2016), 17 pages. doi: 10.1063/1.4941410 [arxiv] [pdf]
A. S. Cattaneo, P. Mnev, N. Reshetikhin (2015). Perturbative quantum gauge theories on manifolds with boundary. Commun. Math. Phys. 357, 631–730 (2018): https://doi.org/10.1007/s00220-017-3031-6; see also: hedgehog BV. Also on Springer Nature.. doi: 10.1007/s00220-017-3031-6 [arxiv] [pdf]
A. S. Cattaneo, I. Contreras Palacios (2015). Relational symplectic groupoids. Lett. Math. Phys. 105, 723-767 (2015) . doi: 10.1007/s11005-015-0760-3 [arxiv] [pdf]
A. S. Cattaneo, P. Mnev, N. Reshetikhin (2015). Semiclassical quantization of classical field theories. Mathematical Aspects of Quantum Field Theories, Mathematical Physics Studies 2015, pp 275-324. doi: 10.1007/978-3-319-09949-1_9 [pdf]
A. S. Cattaneo, P. Mnev (2014). Wave relations. Preprint Nr. 03-2014 Commun. Math. Phys. 332, 1083–1111 (2014). doi: 10.1007/s00220-014-2130-x [pdf]
A. S. Cattaneo, P. Mnev, N. Reshetikhin (2014). Classical BV Theories on Manifolds with Boundary. Preprint Nr. 04-2014 Commun. Math. Phys. 332, 535-603 (2014). doi: 10.1007/s00220-014-2145-3 [pdf]
A. S. Cattaneo (2013). Coisotropic submanifolds and dual pairs. Preprint Nr. 08-2013 Lett. Math. Phys. 104, 243-270 (2014).. doi: 10.1007/s11005-013-0661-2 [pdf]
A. S. Cattaneo, I. Contreras Palacios (2012). Groupoids and Poisson sigma models with boundary. Preprint Nr. 14-2012 Geometric, Algebraic and Topological Methods for Quantum Field Theory. January 2014, 315-330 (2014).. doi: 10.1142/9789814460057_0009 [pdf]
A. S. Cattaneo, C. A. Rossi, C. Torossian (2013). Biquantization of symmetric pairs and the quantum shift. Preprint Nr. 05-2013 J. Geom. Phys. 74, 211-250 (2013).. doi: 10.1016/j.geomphys.2013.07.001 [pdf]
A. S. Cattaneo, B. Dherin, A. Weinstein (2013). Integration of Lie algebroid comorphisms. Preprint Nr. 03-2013 Portugaliae Mathematica 70, 113–144 (2013).. doi: 10.4171/PM/1928 [pdf]
A. S. Cattaneo, B. Dherin, A. Weinstein (2012). Symplectic microgeometry III: Monoids. Preprint Nr. 10-2012 J. Sympl. Geom. 11, 319-341 (2013). doi: 10.4310/JSG.2013.v11.n3.a1 [pdf]
A. S. Cattaneo, M. Zambon (2012). A Supergeometric Approach to Poisson Reduction. Preprint Nr. 13-2012 Commun. Math. Phys. 318, 675-716 (2013). doi: 10.1007/s00220-013-1664-7 [pdf]
A. S. Cattaneo, P. Mnev, N. Reshetikhin (2012). Classical and Quantum Lagrangian Field Theories with Boundary. 25 pages; Preprint Nr. 07-2012 PoS(CORFU2011)044 [pdf]
A. S. Cattaneo, I. Contreras Palacios, C. Heunen (2012). Relative Frobenius algebras are groupoids. Preprint Nr. 06-2012 J. Pure and Applied Algebra 217, 114-124 (2013). doi: 10.1016/j.jpaa.2012.04.002 [pdf]
F. Bonechi, A. S. Cattaneo, P. Mnev (2012). The Poisson Sigma Model on Closed Surfaces. Preprint Nr. 01-2012 JHEP 2012, 99, pages 1-27 (2012). doi: 10.1007/JHEP01(2012)099 [pdf]
A. S. Cattaneo, B. Dherin, A. Weinstein (2011). Symplectic microgeometry II: Generating functions. Preprint Nr. 11-2011 Bull. Brazilian Math. Soc. 42, 507-536 (2011). doi: 10.1007/s00574-011-0027-2 [pdf]
A. S. Cattaneo, G. Felder, Th. Willwacher (2011). The character map in deformation quantization. Preprint Nr. 10-2011 Advances in Mathematics 228, 1966-1989 (2011). doi: 10.1016/j.aim.2011.06.026 [pdf]
A. S. Cattaneo, F. Schätz (2011). Introduction to supergeometry. Preprint Nr. 09-2011 Rev. Math. Phys. 23, 669–690 (2011). doi: 10.1142/S0129055X11004400 [pdf]
A. S. Cattaneo, A. Giaquinto, P. Xu (2011). Higher Structures in Geometry and Physics: In Honor of Murray Gerstenhaber and Jim Stasheff. Progress in Mathematics, Vol. 287, XV, 362 p., 92 illus., (2011, Birkhäuser, Boston)
A. S. Cattaneo, B. Dherin, G. Felder (2010). Formal Lagrangian Operad. Preprint Nr. 12-2010 International Journal of Mathematics and Mathematical Sciences, vol. 2010, Article ID 643605, 36 pages, 2010. doi:10.1155/2010/643605. doi: https://doi.org/10.1155/2010/643605 [pdf]
A. S. Cattaneo, J. Qiu, M. Zabzine (2010). 2D and 3D topological field theories for generalized complex geometry. Preprint Nr. 09-2010 Adv. Theor. Math. Phys. 14, 695-725 (2010) [pdf]
A. S. Cattaneo, B. Dherin, A. Weinstein (2009). Symplectic microgeometry I: Micromorphisms. J. Sympl. Geom. 8, 205-223 (2010) [arxiv] [pdf]
A. S. Cattaneo, P. Mnev (2009). Remarks on Chern-Simons Invariants. Preprint Nr. 10-2009 Commun. Math. Phys. 293, 803-836 (2010) . doi: 10.1007/s00220-009-0959-1 [arxiv] [pdf]
A. Alekseev, A. S. Cattaneo, Y. Kosmann-Schwarzbach, T. S. Ratiu. Special Volume on Poisson Geometry (guest editors). Lett. Math. Phys. 90, Nos. 1-3 (2009)
A. S. Cattaneo, G. Dito, M. Kontsevich, D. Sternheimer (2009). Special Issue on Deformation Quantization (guest editors). in SIGMA 4 (2008) and 5 (2009)
A. S. Cattaneo, G. Felder, Th. Willwacher (2009). On L_\infty-morphisms of cyclic chains. Lett. Math. Phys. 90, 85-101 (2009). doi: https://doi.org/10.1007/s11005-009-0338-z [arxiv] [pdf]
A. S. Cattaneo, M. Zambon (2008). Graded geometry and Poisson reduction. AIP Conf. Proc. 1093, 48-56 (2009) . doi: 10.1063/1.3089207 [arxiv] [pdf]
A. S. Cattaneo, G. Felder (2008). Effective Batalin—Vilkovisky theories, equivariant configuration spaces and cyclic chains. Preprint Nr. 05-2008 (2008), Progr. Math. 287, 111-137 (2011). doi: dx.doi.org/10.1007/978-0-8176-4735-3_6 [arxiv] [pdf]
A. S. Cattaneo, F. Schätz (2008). Equivalences of higher derived brackets. Preprint Nr. 02-2008 (2008); J. Pure and Applied Algebra 212, 2450-2460 (2008). doi: http://dx.doi.org/10.1016/j.jpaa.2008.03.013 [arxiv] [pdf]
A. S. Cattaneo, M. Zambon (2007). Coisotropic Embeddings in Poisson Manifolds. Preprint Nr. 20-2007 (2007); Trans. AMS 361, 3721-3746 (2009). doi: http://dx.doi.org/10.1090/S0002-9947-09-04667-4 [arxiv] [pdf]
A. S. Cattaneo (2007). Deformation Quantization and Reduction. Preprint Nr.13-2007 (2007); Cont. Math. 450, 79-101 (2008). doi: 10.5167/uzh-6703 [arxiv] [pdf]
A. S. Cattaneo, M. Zambon (2006). Pre-Poisson submanifolds. Preprint Nr. 26-2006 (2006); Travaux mathématiques 17, 61-74 (2007) [arxiv] [pdf]
A. S. Cattaneo, C. Torossian (2006). Quantification pour les paires symétriques etdiagrammes de Kontsevich. Preprint Nr. 18-2006 (2006), 78 pages; Ann. Sci. Éc. Norm. Sup. 41, 789-854 (2008). doi: 10.5167/uzh-13962 [arxiv] [pdf]
A. Bruguières, A. S. Cattaneo, B. Keller, C. Torossian (2005). Déformation, Quantification, Théorie de Lie. Panoramas et Synthése 20 (2005), viii+186 pages.
A. S. Cattaneo, G. Felder (2006). Relative formality theorem and quantisation of coisotropic submanifolds. Preprint Nr. 08-2006 (2006); Adv. Math. 208, 521-548 (2007) [arxiv] [pdf]
A. S. Cattaneo (2006). From Topological Field Theory to DeformationQuantization and Reduction. Preprint Nr. 06-2006 (2006) Proceedings of ICM 2006, Vol. III, 339-365 (European Mathematical Society, 2006) [pdf]
A. S. Cattaneo, D. Fiorenza, R. Longoni (2006). On the Hochschild-Kostant-Rosenberg Map for Graded Manifolds. Preprint Nr. 05-2006 (2006) IMRN 62, 3899-3918 (2005) [pdf]
F. Bonechi, A. S. Cattaneo, M. Zabzine (2005). Geometric quantization and non-perturbative Poisson sigma model. Preprint Nr. 17-2005 (2005) Adv. Theor. Math. Phys. 10, 683-712 (2006) [pdf]
A. S. Cattaneo, D. Fiorenza, R. Longoni (2005). Graded Poisson Algebras. Encyclopedia of Mathematical Physics, eds. J.-P. Françoise, G.L. Naber andTsou S.T. , vol. 2, p. 560-567 (Oxford: Elsevier, 2006).. doi: https://doi.org/10.1016/B0-12-512666-2/00434-X [pdf]
A. S. Cattaneo, D. Indelicato (2004). Formality and Star Products. Preprint Nr. 06-2004 (2004)
in Poisson Geometry, Deformation Quantisation and Group Representations, (ed. S. Gutt, J. Rawnsley, D. Sternheimer), London Mathematical Society Lecture Note Series 323, 79-144 (Cambridge University Press, 2005).. doi: 10.5167/uzh-21691 [arxiv] [pdf]
A. S. Cattaneo, P. Cotta-Ramusino, R. Longoni (2004). Algebraic structures on graph cohomology. Preprint Nr. 05-2004 (2004) J. of Knot Theory and Its Ramifications 14, 627-640 (2005) [pdf]
A. S. Cattaneo, B. Dherin, G. Felder (2004). Formal symplectic groupoid. Preprint Nr. 4-2004 (2004)
Commun. Math. Phys. 253, 645-674 (2005) [pdf]
A. S. Cattaneo, G. Felder (2004). Coisotropic submanifolds in Poisson geometry and branes in the Poisson sigma model. Preprint Nr. 2-2004 (2004)
Lett. Math. Phys. 69; 157-175 (2004) [pdf]
A. S. Cattaneo (2003). On the integration of Poisson manifolds, Lie algebroids, and coisotropic submanifolds. Preprint Nr. 16-2003 (2003);
Lett. Math. Phys. 67, 33-48 (2004); [pdf]
A. S. Cattaneo, P. Xu (2003). Integration of twisted Poisson structures. Preprint Nr. 09-2003 (2003)
J. Geom. Physics 49, 187-196 (2004) [pdf]
A. S. Cattaneo, C. A. Rossi (2005). Wilson surfaces and higher dimensional knot invariants. Preprint Nr. 07-2005 (2005)
Commun. Math. Phys. 256, 513-537 (2005) [pdf]
A. S. Cattaneo, J. Fröhlich, B. Pedrini (2002). Topological Field Theory Interpretation of String Topology. Preprint Nr. 11-2002 (2002)
Commun. Math. Phys. 240, 397-421 (2003) [pdf]
A. S. Cattaneo (2002). The Lagrangian operad. 11 pages, 2002; unpublished [pdf] [pdf]
A. S. Cattaneo, G. Felder, L. Tomassini (2002). From local to global deformation quantization of Poisson manifolds. Preprint Nr. 12-2002 (2002)
Duke Math. J. 115, 329-352 (2002) [pdf]
A. S. Cattaneo, P. Cotta-Ramusino, R. Longoni (2001). Configuration spaces and Vassiliev classes in any dimension. Algebr. Geom. Topol. 2, 949-1000 (2002)
A. S. Cattaneo, G. Felder (2001). On the globalization of Kontsevich's star product and the perturbative Poisson sigma model. Prog. Theor. Phys. Suppl. 144, 38-53 (2001); hep-th/0111028 [arxiv]
A. S. Cattaneo, G. Felder, L. Tomassini. Fedosov connections on jet bundles and deformation quantization. in: Deformation Quantization (ed. G. Halbout), IRMA Lectures in Mathematics and Theoretical Physics (ed. V. Turaev), 191-202 (de Gruyter, Berlin, 2002); math.QA/0111290. doi: 10.5167/uzh-21937 [arxiv]
A. S. Cattaneo, G. Felder (2001). Poisson sigma models and symplectic groupoids. Progress in Mathematics 198, 61-93 (Birkhäuser, 2001); math.SG/0003023. doi: 10.1007/978-3-0348-8364-1_4 [arxiv]
A. S. Cattaneo, C. A. Rossi (2001). Higher-dimensional BF theories in the Batalin-Vilkovisky formalism: The BV action and generalized Wilson loops. Commun. Math. Phys. 221, 591-657 (2001)
A. S. Cattaneo, G. Felder (2001). On the AKSZ formulation of the Poisson sigma model. Lett. Math. Phys. 56, 163-179 (2001)
A. S. Cattaneo, G. Felder (2001). Poisson sigma models and deformation quantization. Mod. Phys. Lett. A 16, 179-190 (2001)
A. S. Cattaneo, P. Cotta-Ramusino, C. A. Rossi (2000). Loop observables for BF theories in any dimension and the cohomology of knots. Lett. Math. Phys. 51, 301-316 (2000)
A. S. Cattaneo, G. Felder (2000). A path integral approach to the Kontsevich quantization formula. Commun. Math. Phys. 212, 591-611 (2000)
A. S. Cattaneo (1999). Notes on the self-linking number. 12 pages, 1999; unpublished [pdf]
R. Bott, A. S. Cattaneo (1999). Integral invariants of 3-manifolds. II. J. Diff. Geom. 53, 1-13 (1999). doi: 10.4310/jdg/1214425446
A. S. Cattaneo, P. Cotta-Ramusino, M. Rinaldi (1999). Loop and path spaces and four-dimensional BF theories: Connections, holonomies and observables. Commun. Math. Phys. 204, 493-524 (1999)
A. S. Cattaneo (1999). Configuration space integrals and invariants for 3-manifolds and knots. Cont. Math. 233, 153-165 (1999)
A. S. Cattaneo, P. Cotta-Ramusino, F. Fucito, M. Martellini, M. Rinaldi, A. Tanzini, M. Zeni (1998). Four-dimensional Yang-Mills theory as a deformation of topological BF theory. Commun. Math. Phys. 197, 571-621 (1998)
R. Bott, A. S. Cattaneo (1998). Integral invariants of 3-manifolds. J. Diff. Geom. 48, 91-133 (1998)
A. S. Cattaneo, P. Cotta-Ramusino, M. Rinaldi (1998). BRST symmetries for the tangent gauge group. J. Math. Phys. 39, 1316-1339 (1998)
A. S. Cattaneo. Abelian BF theories and knot invariants. Commun. Math. Phys. 189, 795-828 (1997)
A. S. Cattaneo (1996). On the BV Formalism. 21 pages, 1996; unpublished [pdf]
A. S. Cattaneo. Cabled Wilson loops in BF theories. J. Math. Phys. 37, 3684-3703 (1996). J. Math. Phys. 37, 3684-3703 (1996)
A. S. Cattaneo. Teorie topologiche di tipo BF ed invarianti dei nodi. Ph. D. Thesis, Milan University, 1995 (Advisor: Prof. M. Martellini) PDF
A. S. Cattaneo, P. Cotta-Ramusino, A. Gamba, M. Martellini. The Donaldson-Witten invariants in pure 4D-QCD with order and disorder't Hooft-like operators. Phys. Lett. B 355, 245-254 (1995)
A. S. Cattaneo, P. Cotta-Ramusino, J. Fröhlich, M. Martellini. Topological BF theories in 3 and 4 dimensions. J. Math. Phys. 36, 6137-6160 (1995)
A. S. Cattaneo, P. Cotta-Ramusino, M. Martellini. Three-dimensional BF theories and the Alexander-Conway invariant of knots. Nucl. Phys. B 346, 355-382 (1995)
F. Belgiorno, A. S. Cattaneo. Black holes and cosmological constant in bosonic string theory: Some remarks. Int. J. Mod. Phys. A 10, 527-539 (1995)
A. S. Cattaneo, A. Gamba, V. Kolokolov, M. Martellini. 1D-disordered conductor with loops immersed in a magnetic field. Phys. Lett. A 190, 206-212 (1994)
A. S. Cattaneo, A. Gamba, V. Kolokolov. Statistics of the one-electron current in a one-dimensional mesoscopic ring at arbitrary magnetic fields. J. Stat. Phys. 76, 1065-1074 (1994)
A. S. Cattaneo, A. Gamba, M. Martellini. Moduli spaces of curves with homology chains and c=1 matrix models. Phys. Lett. B 327, 221-225 (1994)
F. Belgiorno, A. S. Cattaneo, F. Fucito, M. Martellini. Conformal affine Toda model of two-dimensional black holes: The end-point state and the S matrix. Phys. Rev. D 48, 2660-2669 (1993)
F. Belgiorno, A. S. Cattaneo, F. Fucito, M. Martellini. A conformal affine Toda model of 2d black holes: A quantum study of the evaporation end point. Mod. Phys. Lett. A 8, 2593-2605 (1993)
F. Belgiorno, A. S. Cattaneo, F. Fucito, M. Martellini. Quantum models of black hole evaporation. in International Workshop on String Theory, Quantum Gravity and the Unification of Fundamental Interactions (World Scientific Publishing Co. Pte. Ltd., Singapore, 1993), pp. 19-27. doi: 10.5167/uzh-33230
A. S. Cattaneo (1991). Studio delle proprietà di localizzazione su catene quasiperiodiche mediante gruppo di rinormalizzazione nello spazio reale. Laurea Thesis, Milan University, 1991 (Advisor: Prof. L. Girardello) [pdf]
Alberto Cattaneo (2016). Integral Invariants of 3-Manifolds. Commentary on my work with Raoul Bott [pdf]
Alberto Cattaneo (2005). Deformation quantization from functional integrals. Minicourse given at the Mathematics Department of Paris 7 in March 2002. To appear as Part III of "Déformations, quantification, théorie de Lie" [pdf]
Geometry and Machine Learning, Scalea, Italy, June 17–21, 2024
