Rigidity theorem for presheaves with Ω-transfers

Neshitov, A.

doi:10.1090/spmj/1367

Rigidity theorem for presheaves with $\Omega$-transfers
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by A. Neshitov
Translated by: the author

St. Petersburg Math. J. 26 (2015), 919-932

DOI: https://doi.org/10.1090/spmj/1367

Published electronically: September 21, 2015

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Abstract:

In 1983 A. Suslin proved the Quillen–Lichtenbaum conjecture about the algebraic $K$-theory of algebraically closed fields. The proof was based on a statement called the Suslin rigidity theorem. In the present paper, the rigidity theorem is proved for homotopy invariant presheaves with $\Omega$-transfers, introduced by I. Panin. This type of presheaves includes the $K$-functor and algebraic cobordism of M. Levine and F. Morel.

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