%0 Journal Article %T Lefschetz and Hirzebruch-Riemann-Roch formulas via noncommutative motives %A Denis-Charles Cisinski %A Goncalo Tabuada %J Mathematics %D 2011 %I arXiv %X 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 short article, we see how these constructions and computations formally stem from their motivic counterparts. %U http://arxiv.org/abs/1111.0257v2