A Riemann-Roch Theorem for dg Algebras

2010/04/02 by Petit, Francois
#Algebraic Geometry (math.AG) #FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.1004.0361

Abstract

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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