A generalized Hirzebruch Riemann-Roch theorem
Algebraic Geometry
2010-09-28 v1 Mathematical Physics
math.MP
Abstract
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.
Cite
@article{arxiv.0808.3265,
title = {A generalized Hirzebruch Riemann-Roch theorem},
author = {Ajay C. Ramadoss},
journal= {arXiv preprint arXiv:0808.3265},
year = {2010}
}
Comments
5 pages