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arXiv · 1002.2561

A note on the Koszul complex in deformation quantization

Andrea Ferrario·Carlo A. Rossi·Thomas Willwacher
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Abstract

The aim of this short note is to present a proof of the existence of an $A_\infty$-quasi-isomorphism between the $A_\infty$-$\mathrm S(V^*)$-$\wedge(V)$-bimodule $K$, introduced in \cite{CFFR}, and the Koszul complex $\mathrm K(V)$ of $\mathrm S(V^*)$, viewed as an $A_\infty$-$\mathrm S(V^*)$-$\wedge(V)$-bimodule, for $V$ a finite-dimensional (complex or real) vector space.

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Andrea Ferrario, Carlo A. Rossi, Thomas Willwacher. 2010-10-08. A note on the Koszul complex in deformation quantization. https://doi.org/10.1007/s11005-010-0439-8

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