Preorientations of the derived motivic multiplicative group

Details Preorientations of the derived motivic multiplicative group Preorientations of the derived motivic multiplicative group

2010-05-25

arxiv.org/abs/1005.4546v2

Mathematics

K-Theory and Homology

Restriction on base scheme removed, slightly improved exposition, some typos corrected

Scientific paper

We provide a proof in the language of model categories and symmetric spectra of Lurie's theorem that topological complex $K$-theory represents orientations of the derived multiplicative group. Then we generalize this result to the motivic situation. Along the way, a number of useful model structures and Quillen adjunctions both in the classical and in the motivic case are established.

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