Fragmentation norm and relative quasimorphisms

Michael Brandenbursky, Jarek Kedra (Corresponding Author)

Research output: Contribution to journalArticle

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 languageEnglish
JournalProceedings of the American Mathematical Society
Publication statusAccepted/In press - 25 Apr 2019

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Fragmentation
Norm
Fundamental Group
Ball

Keywords

  • measure-preserving homeomorphisms
  • Hamiltonian diffeomorphisms
  • fragmentation norm
  • relative quasimorphisms

Cite this

Fragmentation norm and relative quasimorphisms. / Brandenbursky, Michael; Kedra, Jarek (Corresponding Author).

In: Proceedings of the American Mathematical Society, 25.04.2019.

Research output: Contribution to journalArticle

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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.",
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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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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.

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KW - Hamiltonian diffeomorphisms

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KW - relative quasimorphisms

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JF - Proceedings of the American Mathematical Society

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