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Morava K-theory and Rost invariant

Published 23 Jun 2023 in math.KT | (2306.13605v1)

Abstract: We prove that inner forms of a variety of Borel subgroups have isomorphic motives with respect to the second Morava K-theory if and only if the corresponding Tits algebras and Rost invariants coincide. This extends Panin's results on interrelationship of K-theory with Tits algebras to the case of cohomological invariants of degree 3.

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Authors (2)

  1. Andrei Lavrenov 
  2. Victor Petrov 

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