English

Floer homologies for Lagrangian intersections and instantons

Geometric Topology 2016-09-06 v1

Abstract

In 1985 lectures at MSRI, A. Casson introduced an interesting integer valued invariant for any oriented integral homology 3-sphere Y via beautiful constructions on representation spaces (see [1] for an exposition). The Casson invariant \lambda(Y) is roughly defined by measuring the oriented number of irreducible representations of the fundamental group \pi_1(Y) in SU(2). Such an invariant generalized the Rohlin invariant and gives surprising corollaries in low dimensional topology.

Keywords

Cite

@article{arxiv.math/9506221,
  title  = {Floer homologies for Lagrangian intersections and instantons},
  author = {Ronnie Lee and Weiping Li},
  journal= {arXiv preprint arXiv:math/9506221},
  year   = {2016}
}