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

· 2011 · math.AG · arXiv 1102.2884

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abstract

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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  • Iterated traces in 2-categories and Lefschetz theorems math.AT · 2019-08-20 · conditional · none · ref 21 · internal anchor

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