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Rationally trivial torsors in -homotopy theory

Published online by Cambridge University Press:  16 May 2011

Matthias Wendt
Matthias Wendt
Affiliation:
Mathematisches Institut, Universität Freiburg, Eckerstraße 1, 79104, Freiburg im Breisgau, Germanymatthias.wendt@math.uni-freiburg.de
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Abstract

In this paper, we show that rationally trivial torsors under split smooth linear algebraic groups induce fibre sequences in -homotopy theory. The results allow geometric proofs of stabilization results for unstable Karoubi-Villamayor K-theories and a description of the second -homotopy group of the projective line.

Keywords

motivic homotopyfibre sequencesimplicial presheavestorsors

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Type
Research Article
Information
Journal of K-Theory , Volume 7 , Issue 3 , June 2011 , pp. 541 - 572
Copyright
Copyright © ISOPP 2011

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