Speaker: Katherine Novey
University of Notre Dame
Will give a Graduate Student Seminar entitled:
Ordinary TQFTs Cannot Distinguish Simply Connected 6-Manifolds
Abstract: Work by David Reutter and Chris Schommer--Pries has shown that TQFTs can distinguish stable diffeomorphism classes of closed, connected, even-dimensional manifolds subject to certain finiteness conditions. In particular, simply connected closed 6-manifolds with finite $\pi_2$ are diffeomorphic if and only if they cannot be distinguished by TQFTs, and it was conjectured that this result holds for all closed, simply connected 6-manifolds. We will present a pair of non-diffeomorphic closed, simply connected 6-manifolds with infinite $\pi_2$ that are indistinguishable by TQFTs, disproving the conjecture.
Date: 12-05-2024
Time: 2:00 pm
Location: 258 Hurley Hall
Originally published at math.nd.edu.