Lefschetz fixed point theorems for Fourier–Mukai functors and DG algebras
Copyright policy )Lefschetz fixed point theorems for Fourier–Mukai functors and DG algebras
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.
Fourth version. Minor additions. Comments welcome
- Indiana University United States
- Indiana University United States
- Department of Mathematics Indiana University United States
- Indiana University United States
- DePaul University United States
Algebra and Number Theory, Hochschild homology, Sheaves, derived categories of sheaves, etc., Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), DG algebras, Lefschetz fixed point theorem, Derived categories, triangulated categories, Mathematics - Algebraic Geometry, Fourier–Mukai transform, FOS: Mathematics, Fourier-Mukai transform, Algebraic Geometry (math.AG)
Algebra and Number Theory, Hochschild homology, Sheaves, derived categories of sheaves, etc., Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), DG algebras, Lefschetz fixed point theorem, Derived categories, triangulated categories, Mathematics - Algebraic Geometry, Fourier–Mukai transform, FOS: Mathematics, Fourier-Mukai transform, Algebraic Geometry (math.AG)
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