Products and relations in symplectic Floer homology

TL;DR

This paper constructs a functorial framework for products and relations in symplectic Floer (co)homology, drawing parallels with Gromov-Witten classes, to enhance understanding of symplectic invariants.

Contribution

It introduces a new functorial approach to products and relations in symplectic Floer (co)homology based on Gromov-Witten class analogues.

Findings

Provides a construction of Gromov-Witten class analogues in Floer homology

Establishes a functorial framework for products in symplectic Floer (co)homology

Enhances the algebraic structure understanding of symplectic invariants

Abstract

We give a construction of a version of the Gromov-Witten classes, Q: H_*(J) -> HF_*(M) otimes ... otimes HF^*(M), within the context of symplectic Floer (co)homology. In particular, this gives a functorial approach to products and relations in symplectic Floer (co)homology.