Reference : Invariance of the BFV complex |
Scientific journals : Article | |||
Physical, chemical, mathematical & earth Sciences : Mathematics | |||
http://hdl.handle.net/10993/22555 | |||
Invariance of the BFV complex | |
English | |
Schatz, Florian ![]() | |
2010 | |
Pacific Journal of Mathematics | |
University of California | |
248 | |
2 | |
453-474 | |
Yes (verified by ORBilu) | |
International | |
0030-8730 | |
1945-5844 | |
Berkeley | |
CA | |
[en] BFV-complex ; coisotropic submanifolds ; deformation theory | |
[en] 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, \Pi).
However the assignment (coisotropic submanifold) -> (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 as a tubular neighbourhood, 2. a connection on NS and 3. a special element Omega. We show that different choices of a connection and an element Omega -- 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. | |
Institute of Mathematics, University of Zurich (Zurich, Switzerland) | |
University of Zurich (Zurich, Switzerland) ; Swiss National Science Foundation (SNF-grant 200020-121640/1) ; European Union through the FP6 Marie Curie RTN ENIGMA (contract number MRTN-CT-2004-5652) ; European Science Foundation through the MISGAM program | |
Researchers | |
http://hdl.handle.net/10993/22555 | |
10.2140/pjm.2010.248.453 | |
http://msp.org/pjm/2010/248-2/p11.xhtml | |
The original publication is available at http://msp.org/pjm/2010/248-2/p11.xhtml |
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