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Lefschetz and Hirzebruch-Riemann-Roch formulas via noncommutative motives

· 2011 · math.AG · arXiv 1111.0257

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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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2019 1

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  • Iterated traces in 2-categories and Lefschetz theorems math.AT · 2019-08-20 · conditional · none · ref 8 · internal anchor

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