TQFTs, Skein Modules and Knots in 3-Manifolds

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• Oliver Singh (Durham)
• Friday 09 November 2018, 15:00-16:00
• MR13.

If you have a question about this talk, please contact Ben Morley.

The Jones polynomial can be defined in several ways including as an evaluation of a Topological Quantum Field Theory (or TQFT ) and using the Kauffman skein relation. Either generalises to give an invariant for knots in a three manifold. The latter generalisation has a simple description as an element of a ‘skein module’. I will introduce all of these concepts and, motivated by this example, tell you about TQF Ts and skein modules. I will also talk about categorification of these objects and talk about applications to 3 and 4 dimensional topology.

This talk is part of the Junior Geometry Seminar series.

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