Exotic projective structures and quasi-Fuchsian space, II
نویسندگان
چکیده
منابع مشابه
Exotic Projective Structures and Quasi-fuchsian Space
1. Introduction. Let S be an oriented closed surface of genus g > 1. A projec-tive structure on S is a maximal system of local coordinates modeled on the Riemann sphere C, whose transition functions are Möbius transformations. For a given pro-jective structure on S, we have a pair (f, ρ) of a local homeomorphism f from the universal cover S of S to C, called a developing map, and a group homomo...
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Let P (S) be the space of projective structures on a closed surface S of genus g > 1 and let Q(S) be the subset of P (S) of projective structures with quasifuchsian holonomy. It is known that Q(S) consists of infinitely many connected components. In this paper, we will show that the closure of any exotic component of Q(S) is not a topological manifold with boundary and that any two components o...
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ژورنال
عنوان ژورنال: Duke Mathematical Journal
سال: 2007
ISSN: 0012-7094
DOI: 10.1215/s0012-7094-07-14013-4