Transfer maps in symplectic cohomology for convex symplectic domains

TL;DR

This paper develops transfer maps in symplectic cohomology for convex symplectic domains, utilizing action filtration techniques based on Reeb periods to handle domain inclusions.

Contribution

It introduces a new construction of transfer maps in symplectic cohomology for convex domains with exact complements, expanding the toolkit for symplectic topology.

Findings

Transfer maps are constructed under specific convexity and exactness conditions.

The method involves manipulating the action filtration via Reeb periods.

The approach broadens the applicability of symplectic cohomology transfer maps.

Abstract

We construct transfer maps in symplectic cohomology for convex symplectic domains under the assumption that the complement of a subdomain is exact. We manipulate the action filtration by Reeb periods introduced by McLean--Ritter for the construction.