{"paper":{"title":"Deformations of Coisotropic Submanifolds in Jacobi Manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP","math.QA","math.SG"],"primary_cat":"math.DG","authors_text":"Alfonso G. Tortorella, H\\^ong V\\^an L\\^e, Luca Vitagliano, Yong-Geun Oh","submitted_at":"2014-10-30T17:06:10Z","abstract_excerpt":"In this paper, we attach an $L_\\infty$-algebra to any coisotropic submanifold in a Jacobi manifold. Our construction generalizes and unifies analogous constructions by Oh-Park (symplectic case), Cattaneo-Felder (Poisson case), L\\^e-Oh (locally conformal symplectic case). As a new special case, we attach an $L_\\infty$-algebra to any coisotropic submanifold in a contact manifold. The $L_\\infty$-algebra of a coisotropic submanifold $S$ governs the (formal) deformation problem of $S$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.8446","kind":"arxiv","version":2},"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"}