Research ArticlesNo Access

Lescop's invariant and gauge theory

Prayat Poudel

Department of Mathematics, University of Miami, P.O. Box 249085, Coral Gables, FL 33124, USA

https://doi.org/10.1142/S0218216515500509Cited by:1 (Source: Crossref)

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:

AMSC: 57M27, 57R58

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