Higher cohomology for abelian groups of toral automorphisms II: The partially hyperbolic case, and corrigendum

Anatole Katok; Svetlana Katok

Higher cohomology for abelian groups of toral automorphisms II: The partially hyperbolic case, and corrigendum

Anatole Katok
, Svetlana Katok

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

In this paper we extend the results of an earlier paper, which deal with a description of the smooth untwisted cohomology for Z^k-actions by hyperbolic automorphisms of a torus, to the partially hyperbolic case. Along the way we correct an error found in one of the steps in the proof for the hyperbolic case.

Original language	English (US)
Title of host publication	The Collected Works of Anatole Katok
Subtitle of host publication	In 2 Volumes
Publisher	World Scientific Publishing Co.
Pages	1833-1841
Number of pages	9
Volume	2
ISBN (Electronic)	9789811238079
ISBN (Print)	9789811238062
State	Published - Jan 1 2024

All Science Journal Classification (ASJC) codes

General Mathematics
General Engineering

Cite this

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AB - In this paper we extend the results of an earlier paper, which deal with a description of the smooth untwisted cohomology for Zk-actions by hyperbolic automorphisms of a torus, to the partially hyperbolic case. Along the way we correct an error found in one of the steps in the proof for the hyperbolic case.

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Higher cohomology for abelian groups of toral automorphisms II: The partially hyperbolic case, and corrigendum

Abstract

All Science Journal Classification (ASJC) codes

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