Institut für Mathematik


Konferenz: Minisymposium Link Homology and TQFTs

Topological field theory on r-spin surfaces and the Arf invariant

Vortrag von Dr. Laurant Szegedy
Datum: 19.03.19   Zeit: 13.30 - 14.30   Raum: Y27H26

Abstract: After a brief introduction to r-spin structures on surfaces we present a state-sum construction of r-spin TFTs based on a combinatorial model of r-spin surfaces. We give an example of such a TFT which computes the Arf invariant for even values of r. Using the combinatorial model and this TFT we calculate diffeomorphism classes of r-spin surfaces with parametrized boundary. This is joint work with Ingo Runkel.