Fragmentation norm and relative quasimorphisms
- 22 June 2022
- journal article
- research article
- Published by American Mathematical Society (AMS) in Proceedings of the American Mathematical Society
- Vol. 150 (10), 4519-4531
- https://doi.org/10.1090/proc/14683
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
Funding Information
- Leverhulme Trust (RPG-2017-159)
This publication has 19 references indexed in Scilit:
- Bi-invariant metrics and quasi-morphisms on groups of Hamiltonian diffeomorphisms of surfacesInternational Journal of Mathematics, 2015
- On the $L^p$-geometry of autonomous Hamiltonian diffeomorphisms of surfacesMathematical Research Letters, 2015
- Quasi-morphisms on the group of area-preserving diffeomorphisms of the 2-disk via braid groupsProceedings of the American Mathematical Society, Series B, 2014
- Quasi-morphisms and Symplectic Quasi-states for Convex Symplectic ManifoldsInternational Mathematics Research Notices, 2012
- Partial quasimorphisms and quasistates on cotangent bundles, and symplectic homogenizationJournal of Modern Dynamics, 2012
- Quasi-states and symplectic intersectionsCommentarii Mathematici Helvetici, 2006
- FLOER HOMOLOGY, DYNAMICS AND GROUPSPublished by Springer Science and Business Media LLC ,2005
- On the asymptotic geometry of area-preserving mapsMathematical Research Letters, 2000
- The second bounded cohomology of word-hyperbolic groupsTopology, 1997
- A Certain Subgroup of the Fundamental GroupAmerican Journal of Mathematics, 1965