Transfer maps in symplectic cohomology for convex symplectic domains

2025/12/11 by Myeonggi Kwon, Kwon, Myeonggi, Takahiro Oba +1
Mathematics · #Geometry and complex manifolds #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2512.10491

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.

Citations

• Lefschetz-Bott fibrations on line bundles over symplectic manifolds
• The McKay correspondence for isolated singularities via Floer theory
• Lefschetz fibrations and symplectic homology

Related

• continious cohomology of groups of volume-preserving and symplectic diffepmorphisms, measurable transfer and higher asymtotic cycles
• Coulomb branch algebras via symplectic cohomology
• Remarks on Symplectic Geometry
• Residue formulas for push-forwards in equivariant cohomology - a symplectic approach
• A biased view of symplectic cohomology