Fragmentation norm and relative quasimorphisms

Michael Brandenbursky; Jarek Kedra

Fragmentation norm and relative quasimorphisms

Michael Brandenbursky, Jarek Kedra (Corresponding Author)

Research output: Contribution to journal › Article

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
Journal	Proceedings of the American Mathematical Society
Publication status	Accepted/In press - 25 Apr 2019

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Keywords

measure-preserving homeomorphisms
Hamiltonian diffeomorphisms
fragmentation norm
relative quasimorphisms

Cite this

Brandenbursky, M., & Kedra, J. (Accepted/In press). Fragmentation norm and relative quasimorphisms. Proceedings of the American Mathematical Society.

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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 - 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.

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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

M3 - Article

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

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https://arxiv.org/abs/1804.06592Licence: Unspecified