Casson-type invariants from the Seiberg-Witten equations
Geometric Topology
2013-06-28 v2
Abstract
This is a survey of our recent work with Tom Mrowka on Seiberg-Witten gauge theory and index theory for manifolds with periodic ends. We explain how this work leads to a new invariant, which is related to the classical Rohlin invariant of homology 3-spheres and to the Furuta-Ohta invariant originating in Yang-Mills gauge theory. We give some new calculations of our invariant for 4-dimensional mapping tori.
Cite
@article{arxiv.1303.2273,
title = {Casson-type invariants from the Seiberg-Witten equations},
author = {Daniel Ruberman and Nikolai Saveliev},
journal= {arXiv preprint arXiv:1303.2273},
year = {2013}
}
Comments
Slightly expanded exposition; to appear in volume "New Ideas in Low-Dimensional Topology", edited by L. Kauffman and V. Manturov