A simplicial construction of G-equivariant Floer homology

Abstract

For G a Lie group acting on a symplectic manifold $(M,\omega )$ preserving a pair of Lagrangians $L_0$, $L_1$, under certain hypotheses not including equivariant transversality we construct a G-equivariant Floer cohomology of $L_0$ and $L_1$.

67 pages. V2: Nerve now uses smooth cubes instead of simplices; other corrections. V3: Further minor corrections. Accepted for publication in the Proceedings of the London Mathematical Society

References in corpus (1)

• A flexible construction of equivariant Floer homology and applications

Cited by in corpus (3)

• Projective Naturality in Heegaard Floer Homology
• Involutions, knots, and Floer K-theory
• Equivariant Lagrangian Floer homology via cotangent bundles of $E{G}_N$