A Riemann-Roch Theorem for dg Algebras

Details A Riemann-Roch Theorem for dg Algebras A Riemann-Roch Theorem for dg Algebras

2010-04-02

arxiv.org/abs/1004.0361v2

Mathematics

Algebraic Geometry

29 pages. Many changes, references added

Scientific paper

Given a smooth proper dg-algebra $A$, a perfect dg $A$-module $M$, and an
endomorphism $f$ of $M$, we define the Hochschild class of the pair $(M,f)$
with values in the Hochschild homology of $A$. Our main result is a
Riemann-Roch type formula involving the convolution of two such Hochschild
classes.

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