1992/10/23 by Albert Schwarz · 2 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Homotopy and Cohomology in Algebraic Topology #hep-th #math.DG
paper · pdf · doi:10.1007/bf02108080
published as Commun.Math.Phys.158:373-396,1993 · 27 pages
arxiv created 1992/10/23 · openalex publication_date 1993/11/01 · arxiv updated 2010/11/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29
The geometry of supermanifolds provided with Q-structure (i.e. with odd vector field Q satisfying \ Q,Q\ =0), P-structure (odd symplectic structure ) and S-structure (volume element) or with various combinations of these structures is studied. The results are applied to the analysis of Batalin-Vilkovisky approach to the quantization of gauge theories. In particular the semiclassical approximation in this approach is expressed in terms of Reidemeister torsion.