TQFTs and APS index theory

Markus Upmeier (University of Aberdeen)

Monday 25th September, 2023 16:00-17:00 Maths 311B

Abstract

Beginning with simple examples, my talk will introduce a novel approach to understanding Atiyah-Patodi-Singer indices for manifolds with boundary that casts them within the framework of an associated topological quantum field theory. This has applications in spectral geometry, particularly to Floer-style gradings on moduli spaces.

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