Lescop's Invariant and Gauge Theory
Geometric Topology
2014-01-28 v2
Abstract
Taubes proved that the Casson invariant of an integral homology 3-sphere equals half the Euler characteristic of its instanton Floer homology. We extend this result to all closed oriented 3-manifolds with positive first Betti number by establishing a similar relationship between the Lescop invariant of the manifold and its instanton Floer homology. The proof uses surgery techniques.
Keywords
Cite
@article{arxiv.1304.3070,
title = {Lescop's Invariant and Gauge Theory},
author = {Prayat Poudel},
journal= {arXiv preprint arXiv:1304.3070},
year = {2014}
}
Comments
19 pages, 2 figures