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Lefschetz and Hirzebruch-Riemann-Roch formulas via noncommutative motives

Published 1 Nov 2011 in math.AG, math.AT, and math.KT | (1111.0257v2)

Abstract: V. Lunts has recently established Lefschetz fixed point theorems for Fourier-Mukai functors and dg algebras. In the same vein, D. Shklyarov introduced the noncommutative analogue of the Hirzebruch-Riemann-Roch theorem. In this short article, we see how these constructions and computations formally stem from their motivic counterparts.

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