3 papers
math.SG2025
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…
math.GT2024
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…
math.GR2024
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…