On the entropy norm on the group of diffeomorphisms of closed oriented surface

Michael Brandenbursky; Arpan Kabiraj

doi:https://doi.org/10.1142/S1793525319500419

On the entropy norm on the group of diffeomorphisms of closed oriented surface

Michael Brandenbursky, Arpan Kabiraj

Department of Mathematics

Ben-Gurion University of the Negev

Research output: Contribution to journal › Article › peer-review

Abstract

We prove that the entropy norm on the group of diffeomorphisms of a closed orientable surface of positive genus is unbounded.

Original language	American English
Pages (from-to)	105-111
Number of pages	7
Journal	Journal of Topology and Analysis
Volume	12
Issue number	1
DOIs	https://doi.org/10.1142/S1793525319500419
State	Published - 1 Mar 2020

Keywords

Entropy
conjugation-invariant norms
mapping class groups
quasi-morphisms

All Science Journal Classification (ASJC) codes

Analysis
Geometry and Topology

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https://doi.org/10.1142/S1793525319500419

Cite this

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title = "On the entropy norm on the group of diffeomorphisms of closed oriented surface",

abstract = "We prove that the entropy norm on the group of diffeomorphisms of a closed orientable surface of positive genus is unbounded.",

keywords = "Entropy, conjugation-invariant norms, mapping class groups, quasi-morphisms",

author = "Michael Brandenbursky and Arpan Kabiraj",

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On the entropy norm on the group of diffeomorphisms of closed oriented surface

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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