On the $A_\infty$-Formality conjecture

Details On the $A_\infty$-Formality conjecture On the $A_\infty$-Formality conjecture

1998-09-21

arxiv.org/abs/math/9809117v1

Mathematics

Quantum Algebra

5 pages, LaTeX2e, 2 PostScript figures

Scientific paper

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 $A_\infty$-version of the Formality conjecture of Maxim Kontsevich [K].

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