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Lefschetz and Hirzebruch-Riemann-Roch formulas via noncommutative motives

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arxiv 1111.0257 v2 pith:Z4V5EQBA submitted 2011-11-01 math.AG math.ATmath.KT

Denis-Charles Cisinski , Goncalo Tabuada This is my paper · ORCID
classification math.AGmath.ATmath.KT
keywords hirzebruch-riemann-rochlefschetznoncommutativealgebrasanaloguearticlecomputationsconstructions
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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-Riemann-Roch theorem. In this short article, we see how these constructions and computations formally stem from their motivic counterparts.

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  1. Iterated traces in 2-categories and Lefschetz theorems

    math.AT 2019-08 conditional novelty 7.0 of 10

    Iterated traces in any 2-dualizable symmetric monoidal bicategory commute, recovering and extending a wide family of Lefschetz-type theorems.

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