2008/12/12 by Florian Schaetz, Schaetz, Florian · 1 citation
Mathematics · Medicine · Physics and Astronomy · #53D17 #55U99 (Primary) 17B60 (Secondary) #Advanced Topics in Algebra #FOS: Mathematics #FOS: Physical sciences #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph) #Ophthalmology and Eye Disorders #Quantum Algebra (math.QA) #math-ph #math.MP #math.QA #msc:17B60 #msc:53D17 #msc:55U99
paper · pdf · doi:10.48550/arxiv.0812.2357
21 pages; improved version, to appear in Pacific J. Math
openalex publication_date 2008/12/12 · arxiv created 2010/11/21 · arxiv updated 2010/11/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The BFV-formalism was introduced to handle classical systems, equipped with symmetries. It associates a differential graded Poisson algebra to any coisotropic submanifold S of a Poisson manifold (M,Π). However the assignment (coisotropic submanifold) \leadsto (differential graded Poisson algebra) is not canonical, since in the construction several choices have to be made. One has to fix: 1. an embedding of the normal bundle NS of S into M, 2. a connection ∇ on NS and 3. a special element Ω. We show that different choices of the connection and Ω -- but with the tubular neighbourhood fixed -- lead to isomorphic differential graded Poisson algebras. If the tubular neighbourhood is changed too, invariance can be restored at the level of germs.