Lefschetz and Hirzebruch–Riemann–Roch formulas via noncommutative motives
Author(s)
Cisinski, Denis-Charles; Trigo Neri Tabuada, Goncalo Jorge
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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-Riemman-Roch theorem. In this short article, we see how these constructions and computations
formally stem from their motivic counterparts.
Date issued
2014Department
Massachusetts Institute of Technology. Department of MathematicsJournal
Journal of Noncommutative Geometry
Publisher
European Mathematical Society Publishing House
Citation
Cisinski, Denis-Charles, and Gonçalo Tabuada. “Lefschetz and Hirzebruch–Riemann–Roch Formulas via Noncommutative Motives.” Journal of Noncommutative Geometry 8.4 (2014): 1171–1190.
Version: Original manuscript
ISSN
1661-6952