{"paper":{"title":"Seidel Representation for Symplectic Orbifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SG","authors_text":"Dongning Wang, Hsian-Hua Tseng","submitted_at":"2012-07-18T01:17:19Z","abstract_excerpt":"Let $(\\X,\\omega)$ be a compact symplectic orbifold. We define $\\pi_1(Ham(\\X, \\omega))$, the fundamental group of the 2-group of Hamiltonian diffeomorphisms of $(\\X, \\omega)$, and construct a group homomorphism from $\\pi_1(Ham(\\X, \\omega))$ to the group $QH_{orb}^*(\\X,\\Lambda)^{\\times}$ of multiplicatively invertible elements in the orbifold quantum cohomology ring of $(\\X, \\omega)$. This extends the Seidel representation ([Se], [M]) to symplectic orbifolds."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.4246","kind":"arxiv","version":3},"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"}