Lefschetz and Hirzebruch-Riemann-Roch formulas via noncommutative motives

DOI10.4171/JNCG/183zbMath1326.14006arXiv1111.0257MaRDI QIDQ2264075

Gonçalo Tabuada, Denis-Charles Cisinski

Publication date: 20 March 2015

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.0257

zbMATH Keywords

Euler characteristicnoncommutative motivesFourier-Mukai functorsLefschetz formulaHirzebruch-Riemann-Roch formula

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Classical real and complex (co)homology in algebraic geometry (14F25) de Rham cohomology and algebraic geometry (14F40) Divisors, linear systems, invertible sheaves (14C20) Enriched categories (over closed or monoidal categories) (18D20) Riemann-Roch theorems, Chern characters (19L10)

Related Items

Iterated traces in 2-categories and Lefschetz theorems, Hirzebruch-Riemann-Roch and Lefschetz type formulas for finite dimensional algebras, The Lefschetz-Lunts formula for deformation quantization modules, Lefschetz type formulas for dg-categories, \(\mathbb{A}^1\)-homotopy invariants of dg orbit categories

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