Monopoles And Landau-Ginzburg Models I

Donghao Wang

Published 2020-04-13Version 1

The end point of this series of papers is to construct the monopole Floer homology for 3-manifolds with torus boundary. In the first paper, we explain the idea from the standpoint of gauged Landau-Ginzburg models and address a few model problems related to the compactness of moduli spaces, using a Bochner-type formula associated to the gauged Witten equations.