Lefschetz and Hirzebruch-Riemann-Roch formulas via noncommutative motives
Algebraic Geometry
2013-03-22 v2 Algebraic Topology
K-Theory and Homology
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.
Keywords
Cite
@article{arxiv.1111.0257,
title = {Lefschetz and Hirzebruch-Riemann-Roch formulas via noncommutative motives},
author = {Denis-Charles Cisinski and Goncalo Tabuada},
journal= {arXiv preprint arXiv:1111.0257},
year = {2013}
}
Comments
16 pages; revised version