Gerstenhaber and Batalin-Vilkovisky algebras; algebraic, geometric, and physical aspects

Roger, Claude

Archivum mathematicum, Tome 45 (2009) no. 4, pp. 301-324

Abstract (VO)

We shall give a survey of classical examples, together with algebraic methods to deal with those structures: graded algebra, cohomologies, cohomology operations. The corresponding geometric structures will be described(e.g., Lie algebroids), with particular emphasis on supergeometry, odd supersymplectic structures and their classification. Finally, we shall explain how BV-structures appear in Quantum Field Theory, as a version of functional integral quantization.

Détail

Classification : 16-02, 16E40, 16E45, 17B56, 17B70, 53D17, 53D55, 58A50, 58D29, 81T70
Keywords: supergeometry; odd symplectic manifolds; functional integral quantization; Graded Lie Algebras; Hochschild cohomology

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