The $L_\infty$-structure on symplectic cohomology

TL;DR

This paper constructs a chain-level $L_ abla$-structure extending the Lie bracket on symplectic cohomology, providing a new algebraic framework for understanding symplectic invariants.

Contribution

It introduces a novel chain-level $L_ abla$-structure on symplectic cohomology, extending the existing Lie bracket to a richer algebraic structure.

Findings

Established the chain-level $L_ abla$-structure on symplectic cohomology.

Extended the Lie bracket to an $L_ abla$-structure at the chain level.

Provided new tools for algebraic analysis of symplectic invariants.

Abstract

We construct the chain level $L_\infty$-structure that extends the Lie bracket on symplectic cohomology.