English

Rigidity theorem for presheaves with \Omega-transfers

Algebraic Geometry 2012-11-19 v1

Abstract

In 1983 A. Suslin proved the Quillen-Lichtenbaum conjecture about algebraic K-theory of algebraically closed fields. The proof was based on a theorem called the Suslin rigidity theorem. In the present paper we prove the rigidity theorem 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. Keywords: rigidity theorem, presheaves with transfers, cohomology theories. MSC2000: 14F43

Keywords

Cite

@article{arxiv.1211.3775,
  title  = {Rigidity theorem for presheaves with \Omega-transfers},
  author = {Alexander Neshitov},
  journal= {arXiv preprint arXiv:1211.3775},
  year   = {2012}
}
R2 v1 2026-06-21T22:39:20.059Z