On the $A_\infty$-Formality conjecture
Quantum Algebra
2007-05-23 v1
Abstract
It is proved that the associative differential graded algebra of (polynomial) polyvector fields on a vector space (may be infinite- dimensional) is quasi-isomorphic to the corresponding cohomological Hochschild complex of (polynomial) functions on this vector space as an associative differential graded algebra. This result is an -version of the Formality conjecture of Maxim Kontsevich [K].
Cite
@article{arxiv.math/9809117,
title = {On the $A_\infty$-Formality conjecture},
author = {Boris Shoikhet},
journal= {arXiv preprint arXiv:math/9809117},
year = {2007}
}
Comments
5 pages, LaTeX2e, 2 PostScript figures