15 citations · 29 across the 8 of their papers we have counts for
6 papers · 1 filter
The infinitesimal and global Thurston geometry of Teichm{ü}ller space
Yi Huang, Ken'Ichi Ohshika, Athanase Papadopoulos
We undertake a systematic study of the infinitesimal geometry of the Thurston metric, showing that the topology, convex geometry and metric geometry of the tangent and cotangent sp…
Super McShane identity
Yi Huang, Robert C. Penner, Anton M. Zeitlin
The authors derive a McShane identity for once-punctured super tori. Relying upon earlier work on super Teichmüller theory by the last two-named authors, they further develop the s…
McShane identities for Higher Teichmüller theory and the Goncharov-Shen potential
Yi Huang, Zhe Sun
We derive generalizations of McShane's identity for higher ranked surface group representations by studying a family of mapping class group invariant functions introduced by Goncha…
McShane-type identities for quasifuchsian representations of nonorientable surfaces
Yi Huang
We show that Norbury's McShane identity for nonorientable cusped hyperbolic surfaces N generalizes to quasifuchsian representations of pi_1(N) as well as pseudo-Anosov mapping Klei…
Mirzakhani's recursion formula on Weil-Petersson volume and applications
Yi Huang
We give an overview of the proof for Mirzakhani's volume recursion for the Weil-Petersson volumes of the moduli spaces of genus hyperbolic surfaces with labeled geodesic bo…
Simple geodesics and Markoff quads
Yi Huang, Paul Norbury
The action of the mapping class group of the thrice-punctured projective plane on its character variety produces an algorithm for generating the simple…