Quantum Topology and Hyperbolic Geometry Conference, Title of the talk: On functoriality of the Blanchet-Khovanov homology, Da Nang, May 27-31, 2019
Abstract: In this talk I will present our new view on the Christian Blanchet solution of the functoriality problem for the Khovanov homology. It results in the construction of the Blanchet–Khovanov algebras and few new functorial theories such as sl(2) tangle homology, quantum annular homology and a categorification of the colored Jones polynomial. The proofs are based on a simple geometric idea: replacing a foam with two intersecting surfaces and analyzing how deformations of these surfaces affect the foam. This is joint work with Kris Putyra, Matt Hogancamp and Stephan Wehrli.