34 citations · 60 across the 7 of their papers we have counts for
12 papers
Balanced curves, quasimorphisms, and the equator conjecture
Yongsheng Jia, Richard Webb
We construct a new infinite-dimensional family of homogeneous quasimorphisms on the group of Hamiltonian diffeomorphisms of the two-sphere. Moreover, for any constant less than…
The growth of free inverse monoids
Mark Kambites, Carl-Fredrik Nyberg-Brodda, Nóra Szakács +1
We compute the rate of exponential growth of the free inverse monoid of rank (and hence an upper bound on the corresponding rate for all -generated inverse monoids and semig…
Towards the boundary of the fine curve graph
Jonathan Bowden, Sebastian Hensel, Richard Webb
The fine curve graph was introduced as a geometric tool to study homeomorphisms of surfaces. In this paper we study the Gromov boundary of this space and the local topology near po…
Rotation sets and actions on curves
Jonathan Bowden, Sebastian Hensel, Kathryn Mann +2
We study the action of the homeomorphism group of a surface on the fine curve graph . While the definition of parallels the c…
Contractible, hyperbolic but non-CAT(0) complexes
Richard C. H. Webb
We prove that almost all arc complexes do not admit a CAT(0) metric with finitely many shapes, in particular any finite-index subgroup of the mapping class group does not preserve…
Quasi-morphisms on surface diffeomorphism groups
Jonathan Bowden, Sebastian Hensel, Richard Webb
We show that the identity component of the group of diffeomorphisms of a closed oriented surface of positive genus admits many unbounded quasi-morphisms. As a corollary, we also de…