%0 Journal Article %T Algebraic K-theory, A^1-homotopy and Riemann-Roch theorems %A Jo£żl Riou %J Mathematics %D 2009 %I arXiv %R 10.1112/jtopol/jtq005 %X In this article, we show that the combination of the constructions done in SGA 6 and the A^1-homotopy theory naturally leads to results on higher algebraic K-theory. This applies to the operations on algebraic K-theory, Chern characters and Riemann-Roch theorems. %U http://arxiv.org/abs/0907.2710v2