A generalized Hirzebruch Riemann-Roch theorem

Details A generalized Hirzebruch Riemann-Roch theorem A generalized Hirzebruch Riemann-Roch theorem

2008-08-24

arxiv.org/abs/0808.3265v1

C. R. Math. Acad. Sci. Paris 347 (2009), no. 5-6, 289-292

Mathematics

Algebraic Geometry

5 pages

Scientific paper

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.

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