Communications in Mathematical Physics

, Volume 155, Issue 2, pp 249–260 | Cite as

Geometry of Batalin-Vilkovisky quantization

  • Albert Schwarz


The geometry ofP-manifolds (odd symplectic manifolds) andSP-manifolds (P-manifolds provided with a volume element) is studied. A complete classification of these manifolds is given. This classification is used to prove some results about Batalin-Vilkovisky procedure of quantization, in particular to obtain a very general result about gauge independence of this procedure.


Neural Network Manifold Statistical Physic Complex System Nonlinear Dynamics 
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Copyright information

© Springer-Verlag 1993

Authors and Affiliations

  • Albert Schwarz
    • 1
  1. 1.Department of MathematicsUniversity of CaliforniaDavisUSA

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