@article{fa087781f3eb4645bf132a6627b9a7ee,

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 = "math.GT, math.DS, math.GR, math.SG",

author = "Michael Brandenbursky and Jarek K{\c e}dra",

note = "Funding Information: Received by the editors April 30, 2018, and, in revised form, February 9, 2019, March 18, 2019, March 20, 2019, and April 21, 2019. 2020 Mathematics Subject Classification. Primary 57S05; Secondary 20F65. This work was funded by a Leverhulme Trust Research Project Grant RPG-2017-159. Funding Information: 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. Publisher Copyright: {\textcopyright} 2022 American Mathematical Society.",

year = "2022",

month = oct,

doi = "10.1090/proc/14683",

language = "English",

volume = "150",

pages = "4519--4531",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "10",

}