Thurston boundary of Teichmüller spaces and the commensurability modular group
نویسندگان
چکیده
منابع مشابه
Thurston Boundary of Teichmüller Spaces and the Commensurability Modular Group
If p : Y → X is an unramified covering map between two compact oriented surfaces of genus at least two, then it is proved that the embedding map, corresponding to p, from the Teichmüller space T (X), for X , to T (Y ) actually extends to an embedding between the Thurston compactification of the two Teichmüller spaces. Using this result, an inductive limit of Thurston compactified Teichmüller sp...
متن کاملDual Teichmüller and Lamination Spaces
We survey explicit coordinate descriptions for two (A and X) versions of Teichmüller and lamination spaces for open 2D surfaces, and extend them to the more general setup of surfaces with distinguished collections of points on the boundary. Main features, such as mapping class group action, Poisson and symplectic structures and others, are described in these terms. The lamination spaces are int...
متن کاملDual Teichmüller Spaces
We describe in elementary geometrical terms Teichmüller spaces of decorated and holed surfaces. We construct explicit global coordinates on them as well as on the spaces of measured laminations with compact and closed support respectively and show explicitly that the latter spaces are asymptotically isomorphic to the former. We discuss briefly quantisation of Teichmüller spaces and some other a...
متن کاملCanonical Mappings between Teichmüller Spaces
Introduction. In an important survey article [BIO] Bers reported on the state of knowledge of Teichmüller theory. There has been a lot of progress in the field since that time. The purpose of this paper is to summarize the recent work in one area of Teichmüller space theory. We will concentrate on the hyperbolic properties of Teichmüller spaces, and present as many consequences of this hyperbol...
متن کاملsome properties of fuzzy hilbert spaces and norm of operators
in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...
15 صفحه اولذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Conformal Geometry and Dynamics of the American Mathematical Society
سال: 1999
ISSN: 1088-4173
DOI: 10.1090/s1088-4173-99-00036-3