Monopoles and Landau-Ginzburg Models II: Floer Homology

Donghao Wang

Published 2020-05-09Version 1

This is the second paper of this series. We define the monopole Floer homology for 3-manifolds with torus boundary, extending the work of Kronheimer-Mrowka for closed 3-manifolds. The Euler characteristic of this Floer homology recovers the Milnor torsion invariant of the 3-manifold by a theorem of Meng-Taubes.