17 October 2014

Deformation quantization with separation of variables of an endomorphism bundle

lecturer: Prof. Alexander Karabegov

Abstract:Given a holomorphic Hermitian vector bundle E and a star-product with separation of variables on a pseudo-Kaehler manifold, we prove a generalization of Gammelgaard's graph-theoretic formula for the corresponding star product with separation of variables on the sections of the endomorphism bundle of the dual bundle E*.