Cohomology of deformations-Reference-Cited by-同舟云学术

Cohomology of deformations

Published:2014-12-02 Issue:01 Volume:07 Page:81-104
ISSN:1793-5253
Container-title:Journal of Topology and Analysis
language:en
Short-container-title:J. Topol. Anal.

Author:

Bader Uri¹,Nowak Piotr W.²³

Affiliation:

1. Technion, Haifa, Israel

2. Instytut Matematyczny Polskiej Akademii Nauk, Warsaw, Poland

3. Instytut Matematyki, Uniwersytet Warszawski, Warsaw, Poland

Abstract

In this paper we study cohomology of a group with coefficients in representations on Banach spaces and its stability under deformations. We show that small, metric deformations of the representation preserve vanishing of cohomology. As applications we obtain deformation theorems for fixed point properties on Banach spaces. In particular, our results yield fixed point theorems for affine actions in which the linear part is not uniformly bounded. Our proofs are effective and allow for quantitative estimates.

Publisher

World Scientific Pub Co Pte Lt

Subject

Geometry and Topology,Analysis

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793525315500041

Reference19 articles.

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