Smoothness Theorem for Differential BV Algebras
Quantum Algebra
2014-02-26 v2
Abstract
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.
Keywords
Cite
@article{arxiv.0707.1290,
title = {Smoothness Theorem for Differential BV Algebras},
author = {John Terilla},
journal= {arXiv preprint arXiv:0707.1290},
year = {2014}
}
Comments
10 pages