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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Meromorphic differentials and Teichmüller space
亚纯微分 泰希米勒空间 全纯二次微分
2023/4/17
In the late 1980s, Nigel Hitchin and Michael Wolf independently discovered a parametrization of the Teichmüller space of a compact surface by holomorphic quadratic differentials. In this talk, I will ...
Teichmuller与Grothendieck- Teichmüller理论研讨会将于2016年7月24日-30日在南开大学陈省身数学研究所举行
A survey of quantum Teichmüller space and Kashaev algebra
shear coordinate quantum Teichmuller space Kashaev coordinates generalized Kashaev algebra
2011/9/20
Abstract: In this chapter, we survey the algebraic aspects of quantum Teichm\"uller space, generalized Kashaev algebra and a natural relationship between the two algebras.
Almost-isometry between Teichmüller metric and length-spectra metric on moduli space
Teichm¨uller metric length-spectra metric almost isometry
2011/1/19
We prove an analogue of Farb-Masur’s theorem that the lengthspectra metric on moduli space is “almost isometric” to a simple model V(S) which is induced by the cone metric over the complex of curves. ...
On local comparison between various metrics on Teichmüller spaces
Teichm¨uller space Teichm¨uller metric quasiconformal metric
2011/1/20
There are several Teichm¨uller spaces associated to a surface of infinite topological type, after the choice of a particular basepoint ( a complex or a hyperbolic structure on the surface). These spac...
Grothendieck-Teichmüller and Batalin-Vilkovisky
Grothendieck-Teichmüller Batalin-Vilkovisky
2011/1/20
It is proven that, for any affine supermanifold M equipped with a constant odd symplectic
structure, there is a universal action (up to homotopy) of the Grothendieck-Teichm¨uller Lie algebra grt on t...
The horofunction compactification of Teichmüller metric
Teichm¨uller space Teichm¨uller metric compactification
2011/1/17
We show that the horofunction compactification of the Teichm¨uller space with the Teichm¨uller metric is homeomorphic to the Gardiner-Masur compactification.
A deformation of Penner's coordinate of the decorated Teichmüller space
Penner's coordinate the decorated Teichmüller space
2010/11/12
We produce a one-parameter family of coordinates $\{\Psi_h\}_{h\in\mathbb{R}}$ of the decorated Teichm\"{u}ller space of an ideally triangulated punctured surface $(S,T)$ with negative Euler characte...