Article
MSC:
16-02,
16E40,
16E45,
17B56,
17B70,
53D17,
53D55,
58A50,
58D29,
81T70 | MR 2591684 | Zbl 1212.58004
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Keywords:
supergeometry; odd symplectic manifolds; functional integral quantization; Graded Lie Algebras; Hochschild cohomology
supergeometry; odd symplectic manifolds; functional integral quantization; Graded Lie Algebras; Hochschild cohomology
Summary:
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.
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