Deformation of uniform algebras on Riemann surfaces
نویسندگان
چکیده
منابع مشابه
Uniform Approximation on Riemann Surfaces
This thesis consists of three contributions to the theory of complex approximation on Riemann surfaces. It is known that if E is a closed subset of an open Riemann surface R and f is a holomorphic function on a neighbourhood of E, then it is “usually” not possible to approximate f uniformly by functions holomorphic on all of R. In Chapter 2, we show, however, that for every open Riemann surface...
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For a generic set in the Teichmüller space, we construct a covariant functor with the range in a category of the operator AF -algebras. The functor maps isomorphic Riemann surfaces to the stably isomorphic AF algebras. Our construction is based on a Hodge theory for measured foliations, elaborated by Hubbard, Masur and Thurston. As an application, we consider the following two problems: (i) a c...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1986
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1986.121.135