Smoothness Theorem for Differential BV Algebras

Details Smoothness Theorem for Differential BV Algebras Smoothness Theorem for Differential BV Algebras

2007-07-09

arxiv.org/abs/0707.1290v2

Journal of Topology 2008 1: 693-702

Mathematics

Quantum Algebra

10 pages

Scientific paper

Associated to a differential BV algebra are two differential graded Lie algebras: we call one classical and the other, which contains a formal h-bar parameter, quantum. The classical dgLa is always smooth formal. In this paper, we give necessary and sufficient conditions for the quantum dgLa to be smooth formal. These conditions are equivalent to the degeneration of a version of the noncommutative Hodge to de Rham spectral sequence. References added.

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