Lefschetz and Hirzebruch–Riemann–Roch formulas via noncommutative motives
Name
Tabuada_Lefschetz and Hirzebruch.pdf
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215.77 KB
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Adobe PDF
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Author(s)
Cisinski, Denis-Charles
Trigo Neri Tabuada, Goncalo Jorge
Date Issued
2014
Journal
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
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-Riemman-Roch theorem. In this short article, we see how these constructions and computations
formally stem from their motivic counterparts.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.4171/JNCG/183
