A variant of the Mukai pairing via deformation quantization

Details A variant of the Mukai pairing via deformation quantization A variant of the Mukai pairing via deformation quantization

2011-03-28

arxiv.org/abs/1103.5312v1

Mathematics

Algebraic Geometry

8 pages. Comments and suggestions welcome

Scientific paper

10.1007/s11005-011-0541-6

We give a new method to prove a formula computing a variant of Caldararu's Mukai pairing \cite{Cal1}. Our method is based on some important results in the area of deformation quantization. In particular, part of the work of Kashiwara and Schapira in \cite{KS} as well as an algebraic index theorem of Bressler, Nest and Tsygan in \cite{BNT},\cite{BNT1} and \cite{BNT2} are used. It is hoped that our method is useful for generalization to settings involving certain singular varieties.

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