The Atiyah class, Hochschild cohomology and the Riemann-Roch theorem

Details The Atiyah class, Hochschild cohomology and the Riemann-Roch theorem The Atiyah class, Hochschild cohomology and the Riemann-Roch theorem

2006-10-18

arxiv.org/abs/math/0610553v3

Mathematics

Algebraic Geometry

16 pages; added references, corrected typos and removed irrelevant passages

Scientific paper

We develop a formalism involving Atiyah classes of sheaves on a smooth
manifold, Hochschild chain and cochain complexes. As an application we prove a
version of the Riemann--Roch theorem.

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