A variant of the Mukai pairing via deformation quantization
Algebraic Geometry
2012-04-03 v1 K-Theory and Homology
Quantum Algebra
Abstract
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.
Keywords
Cite
@article{arxiv.1103.5312,
title = {A variant of the Mukai pairing via deformation quantization},
author = {Ajay C. Ramadoss},
journal= {arXiv preprint arXiv:1103.5312},
year = {2012}
}
Comments
8 pages. Comments and suggestions welcome