15 citations · 48 across the 17 of their papers we have counts for
18 papers
Recursion formula for the volumes of moduli spaces of compact hyperbolic surfaces with cone points
Haoyang Jiang, Lixin Liu
Let be the Weil-Petersson volume of the moduli space of hyperbolic surfaces of genus g with m geodesic boundary components of lengt…
A new boundary of the mapping class group
Lixin Liu, Yaozhong Shi
Based on the action of the mapping class group on the space of measured foliations, we construct a new boundary of the mapping class group and study the structure of this boundary.…
Almost isometries between Teichmüller spaces
Manman Jiang, Lixin Liu, Huiping Pan
We prove that the Teichmüller space of surfaces with given boundary lengths equipped with the arc metric (resp. the Teichmüller metric) is almost isometric to the Teichmüller space…
The arc metric on Teichmüller spaces of surfaces of infinite type with boundary
Qiyu Chen, Lixin Liu
Let be a complete hyperbolic surface of infinite type with geodesic boundary which admits a countable pair of pants decomposition. As an application of the Basmajian identi…
On metrics defined by length spectra on Teichmuller spaces of surfaces with boundary
Youliang Zhong, Lixin Liu, Weixu Su
We prove that the length spectrum metric and the arc-length spectrum metric are almost-isometric on the -relative part of Teichmuller spaces of surfaces with boundary.
The horofunction compactification of the arc metric on Teichmüller space
Daniele Alessandrini, Lixin Liu, Athanase Papadopoulos +1
The arc metric is an asymmetric metric on the Teichm{ü}ller space T(S) of a surface S with nonempty boundary. In this paper we study the relation between Thurston's compactificatio…