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Paper detail

Bimodules and branes in deformation quantization

We prove a version of Kontsevich's formality theorem for two subspaces (branes) of a vector space $X$. The result implies in particular that the Kontsevich deformation quantizations of $\mathrm{S}(X^*)$ and $\wedge(X)$ associated with a quadratic Poisson structure are Koszul dual. This answers an open question in Shoikhet's recent paper on Koszul duality in deformation quantization.

preprint2010arXivOpen access
Damien CalaqueGiovanni FelderAndrea FerrarioCarlo A. Rossi
math-phmath.QAmath.MP
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Damien CalaqueGiovanni FelderAndrea FerrarioCarlo A. Rossi

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