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Lefschetz fixed point theorems for Fourier-Mukai functors and DG algebras

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arxiv 1102.2884 v4 pith:GAHN5YIR submitted 2011-02-14 math.AG

Valery A. Lunts This is my paper · ORCID
classification math.AG
keywords fixedfourier-mukaifunctorslefschetzpointsmooththeoremalgebra
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We propose some variants of Lefschetz fixed point theorem for Fourier-Mukai functors on a smooth projective algebraic variety. Independently we also suggest a similar theorem for endo-functors on the category of perfect modules over a smooth and proper DG algebra.

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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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