2012/11/20 by Jian He, He, Jian
Mathematics · #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG) #math.SG
paper · pdf · doi:10.48550/arxiv.1211.4808
arxiv created 2012/11/20 · openalex publication_date 2012/11/20 · arxiv updated 2012/11/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we prove a recursion relation between the the one-point genus-0 gravitational descendants of a Stein domain (M,∂ M). This relation is best described by the degree -2 map D in the linearized contact homology of ∂ M, arising from the Bourgeois--Oancea exact sequence between symplectic homology of M and linearized contact homology of ∂ M. All one-point genus-0 gravitational descendants can be reduce to the one-point Gromov--Witten invariants via iterates of D.