Secondary LS category of measured laminations
نویسندگان
چکیده
منابع مشابه
Automorphisms of Thurston’s Space of Measured Laminations
1. We begin with some abstract definitions. Suppose X is a topological space and F is a collection of real valued (or complex valued) functions on X . We say that F defines an Fstructure (X , F) on X if the topology on X is the weakest topology so that each element in F is continuous, i.e., the collection {f(U)| U open in R, f ∈ F} forms a subbasis for the topology on X . For instance, take a s...
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We prove an equidistribution result for the level sets of the lengths of simple closed curves in the moduli spaceMg of hyperbolic surfaces of genus g. This result parallels known results regarding horocycle and horosphere flows on homogeneous spaces [Rat], [Dani].
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The space ML(F ) of measured geodesic laminations on a given compact closed hyperbolic surface F has a canonical linear structure arising in fact from different sources in 2-dimensional hyperbolic (eartquake theory) or complex projective (grafting) geometry as well in (2 + 1) Lorentzian one (globally hyperbolic spacetimes of constant curvature). We investigate this linear structure, by showing ...
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A complex projective (or CP ) structure on a compact surface S is an atlas of charts with values in CP and Möbius transition functions. Let P.S/ denote the space of (isotopy classes of) marked complex projective structures on S , and let T .S/ be the Teichmüller space of (isotopy classes of) marked complex structures on S . Because Möbius maps are holomorphic, there is a forgetful projection W ...
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the subgroup of diffeomorphisms homotopic to the identity map. It acts naturally on the space ML(S) of compactly supported measured laminations on S: a piecewise linear space associated to S, whose quotient by the scalars PML(S) can be viewed as a boundary of the Teichmüller space T (S) (see Section 2 for more details on measured laminations and Teichmüller spaces). The space ML(S) has a piecew...
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ژورنال
عنوان ژورنال: Israel Journal of Mathematics
سال: 2014
ISSN: 0021-2172,1565-8511
DOI: 10.1007/s11856-014-1105-0