Algebraic K-theory, A^1-homotopy and Riemann-Roch theorems

Abstract

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.Comment: 39 pages; minor changes (typos, references