{"paper":{"title":"The Geometry of the Master Equation and Topological Quantum Field Theory","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"A. Schwarz, M. Alexandrov, M. Kontsevich, O. Zaboronsky","submitted_at":"1995-02-02T03:16:01Z","abstract_excerpt":"In Batalin-Vilkovisky formalism a classical mechanical system is specified by means of a solution to the {\\sl classical master equation}. Geometrically such a solution can be considered as a $QP$-manifold, i.e. a super\\m equipped with an odd vector field $Q$ obeying $\\{Q,Q\\}=0$ and with $Q$-invariant odd symplectic structure. We study geometry of $QP$-manifolds. In particular, we describe some construction of $QP$-manifolds and prove a classification theorem (under certain conditions).\n We apply these geometric constructions to obtain in natural way the action functionals of two-dimensional to"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9502010","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"}