{"paper":{"title":"Gravitational Descendants and Linearized Contact Homology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SG","authors_text":"Jian He","submitted_at":"2012-11-20T17:26:30Z","abstract_excerpt":"In this paper we prove a recursion relation between the the one-point genus-0 gravitational descendants of a Stein domain $(M,\\partial M)$. This relation is best described by the degree -2 map $D$ in the linearized contact homology of $\\partial M$, arising from the Bourgeois--Oancea exact sequence between symplectic homology of $M$ and linearized contact homology of $\\partial M$. All one-point genus-0 gravitational descendants can be reduce to the one-point Gromov--Witten invariants via iterates of $D$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.4808","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}