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A Riemann-Roch theorem for dg algebras

François Petit

2013Bulletin de la Société mathématique de FranceMathematics被引 2开放获取

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摘要

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.

引用本文(GB/T 7714)

François Petit. A Riemann-Roch theorem for dg algebras[J]. Bulletin de la Société mathématique de France, 2013.

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DOI:https://doi.org/10.24033/bsmf.2646

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