Fragmentation norm and relative quasimorphisms

2018/04/18 by Brandenbursky, Michael, Kędra, Jarek · 2 citations
#Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR) #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.1804.06592

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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• On quasimorphisms and distortion in homeomorphism groups
• Balanced curves, quasimorphisms, and the equator conjecture

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