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arXiv · 1111.0257

Lefschetz and Hirzebruch-Riemann-Roch formulas via noncommutative motives

Denis-Charles Cisinski·Goncalo Tabuada
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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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Denis-Charles Cisinski, Goncalo Tabuada. 2011-11-01. Lefschetz and Hirzebruch-Riemann-Roch formulas via noncommutative motives. https://arxiv.org/abs/1111.0257

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