Invertible TQFTs and Atiyah–Singer index theory

Abstract: I will discuss work in progress that constructs a categorification of Atiyah-Singer index theory. My main theorem shows that these new, categorical indices can be organized into an invertible TQFT, which can algebraically be viewed as a categorical group representation of a cobordism category. If time permits, I will outline how to compute the categorical index topologically.

mathematical physicsalgebraic topologycategory theoryquantum algebra

Audience: researchers in the topic

Topological Quantum Field Theory Club (IST, Lisbon)

Series comments: To receive the series announcements, which include the Zoom access password*, please register in
math.tecnico.ulisboa.pt/seminars/tqft/index.php?action=subscribe#subscribe
*the last announcement for a seminar is sent 2 hours before the seminar.
TQFT Club video channel: educast.fccn.pt/vod/channels/k0rk5qewc?locale=en