A Seiberg-Witten Floer stable homotopy type

Date: 2022-04-13

Time: 14:15 - 16:00

Speaker

Matthew Stoffregen

Abstract

We give a brief introduction to Floer homology and homotopy, from the Seiberg-Witten point of view.  We will then discuss Manolescu’s version of finite-dimensional approximation for rational homology spheres.  We prove that a version of finite-dimensional approximation for the Seiberg-Witten equations associates equivariant spectra to a large class of three-manifolds.  We give some applications to the the study of four-manifolds.  This is joint work with Hirofumi Sasahira.