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arXiv · 1307.7204

Deformation quantization with separation of variables of an endomorphism bundle

Alexander Karabegov
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Abstract

Given a holomorphic Hermitian vector bundle and a star-product with separation of variables on a pseudo-Kaehler manifold, we construct a star product on the sections of the endomorphism bundle of the dual bundle which also has the appropriately generalized property of separation of variables. For this star product we prove a generalization of Gammelgaard's graph-theoretic formula.

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Alexander Karabegov. 2013-07-27. Deformation quantization with separation of variables of an endomorphism bundle. https://doi.org/10.1016/j.geomphys.2013.08.018

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