1,264 research outputs found
A generalized Hirzebruch Riemann-Roch theorem
This short note proves a generalization of the Hirzebruch Riemann-Roch
theorem equivalent to the Cardy condition described in [1]. This is done using
an earlier result [4] that explicitly describes what the Mukai pairing in [1]
descends to in Hodge cohomology via the Hochschild-Kostant-Rosenberg map
twisted by the root Todd genus.Comment: 5 page
Hochschild (co)homology of the Dunkl operator quantization of -singularity
We study Hochschild (co)homology groups of the Dunkl operator quantization of
-singularity constructed by Halbout and Tang. Further, we study traces on
this algebra and prove a local algebraic index formula.Comment: 26 pages. Comments and suggestions welcome. Some typos and other
minor mistakes correcte
A variant of the Mukai pairing via deformation quantization
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.Comment: 8 pages. Comments and suggestions welcom
- …