Lefschetz and Hirzebruch-Riemann-Roch formulas via noncommutative motives, by Denis-Charles Cisinski and Goncalo Tabuada

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 note, making use of the theory of noncommutative motives, we show how these beautiful theorems can be understood as instantiations of more general results.

Denis-Charles Cisinski <denis-charles.cisinski@math.univ-toulouse.fr>
Goncalo Tabuada <tabuada@math.mit.edu>