Floer homologies for Lagrangian intersections and instantons

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 λ(Y) is roughly defined by measuring the oriented number of irreducible representations of the fundamental group π_1(Y) in SU(2). Such an invariant generalized the Rohlin invariant and gives surprising corollaries in low dimensional topology.

Cited by in corpus (2)

• $SO(3)$-Floer homology of 3-manifolds with boundary 1
• The Z-graded symplectic Floer cohomology of monotone Lagrangian sub-manifolds