Fragmentation norm and relative quasimorphisms

Michael Brandenbursky; Jarek Kedra

doi:10.1090/proc/14683

Fragmentation norm and relative quasimorphisms

Michael Brandenbursky, Jarek Kedra^* (Corresponding Author)

^*Corresponding author for this work

Mathematical Science

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

6 Citations (Scopus)

2 Downloads (Pure)

Abstract

We prove that manifolds with complicated enough fundamental group admit measure-preserving homeomorphisms which have positive stable fragmentation norm with respect to balls of bounded measure.

Original language	English
Pages (from-to)	4519-4531
Number of pages	13
Journal	Proceedings of the American Mathematical Society
Volume	150
DOIs	https://doi.org/10.1090/proc/14683
Publication status	Published - 22 Jun 2022

Bibliographical note

Acknowledgments. We would like to thank Lev Buhovsky, Yaron Ostrover and Leonid Polterovich for helpful discussions. We would like to thank the referees for a thorough reading of our paper and for very useful suggestions.

We thank the Center for Advanced Studies in Mathematics at Ben Gurion University for supporting the visit of the second author at BGU. This work was funded by a Leverhulme Trust Research Project Grant RPG-2017-159.

Keywords

measure-preserving homeomorphisms
Hamiltonian diffeomorphisms
fragmentation norm
relative quasimorphisms

Access to Document

10.1090/proc/14683Licence: Unspecified

Brandenbursky_etal_AMS_Fragmentation_norm_and_AAM
This is the author accepted manuscript of an article published in Proceedings of the American Mathematical Society. The final published version is available at: https://doi.org/10.1090/proc/14683
Accepted author manuscript, 219 KBLicence: Unspecified

https://arxiv.org/abs/1804.06592Licence: Unspecified
https://www.ams.org/journals/proc/2022-150-10/S0002-9939-2022-14683-8/home.html

Cite this

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title = "Fragmentation norm and relative quasimorphisms",

abstract = "We prove that manifolds with complicated enough fundamental group admit measure-preserving homeomorphisms which have positive stable fragmentation norm with respect to balls of bounded measure.",

keywords = "measure-preserving homeomorphisms, Hamiltonian diffeomorphisms, fragmentation norm, relative quasimorphisms",

author = "Michael Brandenbursky and Jarek Kedra",

note = "Acknowledgments. We would like to thank Lev Buhovsky, Yaron Ostrover and Leonid Polterovich for helpful discussions. We would like to thank the referees for a thorough reading of our paper and for very useful suggestions. We thank the Center for Advanced Studies in Mathematics at Ben Gurion University for supporting the visit of the second author at BGU. This work was funded by a Leverhulme Trust Research Project Grant RPG-2017-159.",

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AU - Brandenbursky, Michael

AU - Kedra, Jarek

N1 - Acknowledgments. We would like to thank Lev Buhovsky, Yaron Ostrover and Leonid Polterovich for helpful discussions. We would like to thank the referees for a thorough reading of our paper and for very useful suggestions. We thank the Center for Advanced Studies in Mathematics at Ben Gurion University for supporting the visit of the second author at BGU. This work was funded by a Leverhulme Trust Research Project Grant RPG-2017-159.

PY - 2022/6/22

Y1 - 2022/6/22

N2 - We prove that manifolds with complicated enough fundamental group admit measure-preserving homeomorphisms which have positive stable fragmentation norm with respect to balls of bounded measure.

AB - We prove that manifolds with complicated enough fundamental group admit measure-preserving homeomorphisms which have positive stable fragmentation norm with respect to balls of bounded measure.

KW - measure-preserving homeomorphisms

KW - Hamiltonian diffeomorphisms

KW - fragmentation norm

KW - relative quasimorphisms

U2 - 10.1090/proc/14683

DO - 10.1090/proc/14683

M3 - Article

SN - 0002-9939

VL - 150

SP - 4519

EP - 4531

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

ER -

Fragmentation norm and relative quasimorphisms

Abstract

Bibliographical note

Keywords

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Cite this