4 papers
An explicit exotic representation of a rank-one simple Lie group via convex bodies
François Fillastre, Yusen Long, David Xu
In [DP12], Delzant and Py showed that there exist continuous irreducible isometric actions of on the infinite-dimensional hyperbolic space $\mathbb{H}^…
Fine projection complex and subsurface homeomorphisms with positive stable commutator length
Yongsheng Jia, Yusen Long
Drawing inspiration from [BBF15], we construct a family of unbounded quasi-trees for a connected closed oriented surface of genus , upon which the group $\mathrm{Hom…
Non-amenability of mapping class groups of infinite-type surfaces and graphs
Yusen Long
This paper completely determines the non-amenability of the mapping class groups of infinite-type surfaces, the mapping class groups of locally finite infinite graphs of higher ran…
Connectedness of the Gromov boundary of fine curve graphs
Yusen Long, Dong Tan
The fine curve graph was introduced to study homeomorphism group of surfaces. In this paper we study the topology of the Gromov boundary of this graph for closed surfaces with high…