Ray structures on teichmüller space

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August undefined, 2024

WebAug 1, 2016 · Here, ML is the space of measured laminations on the surface, ℓ λ: T g, n → R is the geodesic length function on Teichmüller space associated to the measured lamination λ and d ℓ λ is the differential of ℓ λ at the point X ∈ T g, n. There is a (non-necessary unique) extremal Lipschitz homeomorphism that realizes the infimum in (6). WebMentioning: 40 - IntroductionOne of the underlying principles in the study of Kleinian groups is that aspects of the complex projective geometry of quotients ofĈ by these groups …

Teichmüller space - Wikipedia

Web6.7 Teichmüller spaces are contractible 273 6.8 The universal curve and the universal property 274 6.9 The Bers fiber space 284 6.10 Teichmüller spaces 287 6.11 Analytic structure of Teichmüller spaces 290 6.12 Simultaneous uniformization and quasi-Fuchsian groups 293. Chapter 7: Geometry of finite-dimensional Teichmüller spaces WebSep 19, 2008 · The aim of this paper is to develop the theory of a compactification of Teichmüller space given by F. Gardiner and H. Masur, which we call the Gardiner–Masur … how many calories in a cream filled long john

(PDF) RAY STRUCTURES ON TEICHMÜLLER SPACE - ResearchGate

WebMonatsh Math (2016) 179:165–189 DOI 10.1007/s00605-015-0813-9 On the inclusion of the quasiconformal Teichmüller space into the length-spectrum Teichmüller space D. Alessandri WebRay structures on Teichmüller Space While there may be many Thurston metric geodesics between a pair of points in Teichm\"uller space, we find that by imposing an additional energy minimization constraint on the geodesics, thought of as limits of harmonic map rays, we select a unique Thurston geodesic through those points. WebUniversal Teichmüller space. In mathematical complex analysis, universal Teichmüller space T (1) is a Teichmüller space containing the Teichmüller space T ( G) of every … how many calories in a cracker

The space of metric structures on hyperbolic groups

WebJun 2, 2024 · ray str uctures on teichmÜller space 5 The limit Thurston geodesics in T heorem 1.1 and Theorem 1.2 for non- maximal measured lamination will be characterized … Weba complex structure in the manner described above. If N(f) = 0, we say that f is integrable. Thus, f is integrable if and only if f arises from a complex structure. If X is a C? 2-manifold, then every almost complex structurefon M is integrable. Thus, if W denotes the space of complex structures on X, then there is a bijective how many calories in a cranberryWebonly one set. This signature structure corresponds to a signature in which all multiplicities are equal. In this case, S(r) is the full symmetric group. 2. If s = «, then r = (0, 1, • • -, «), so … how many calories in a cream cracker

"Weba consequence the projection of a generic grafting ray to the moduli space is dense. We also show that the set of points in Teichmüller space obtained by integer (2ˇ–) graftings on … " - Ray structures on teichmüller space

Ray structures on teichmüller space

On behavior of pairs of Teichmüller geodesic rays

WebSep 22, 2024 · F.P. Gardiner, "Teichmüller theory and quadratic differentials" , Wiley (1987) [a2] O. Lehto, "Univalent functions and Teichmüller spaces" , Springer (1987) WebDec 26, 2024 · A principal ℝ+5-bundle over the usual Teichmüller space of ans times punctured surface is introduced. The bundle is mapping class group equivariant and …

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WebAug 21, 2010 · We prove, however, that the quotient of the augmented Teichmüller space by any finite index subgroup of the Teichmüller modular group has a canonical structure of a complex orbifold. Using this structure, we construct natural maps from {\overline {\mathcal {T}}} to stacks of admissible coverings of stable Riemann surfaces. Weband ratd, McMullen and Sullivan introduced in [MS98] the dynamical Teichmüller space of a rational map f, as a dynamical analogue of the Teichmüller theory of surfaces (see [GL00] …

WebSep 25, 2015 · We first give a coordinate system on the $${PSL(n,\\mathbb{R})}$$ P S L ( n , R ) Hitchin component that is a direct analogue of the Fenchel–Nielsen coordinates on Teichmüller space. Using these coordinates, we consider a class of sequences in the Hitchin component, called internal sequences, along which most length functions grow to infinity … Webconstruction of nondivergent rays from a point in Teichmu¨ller space. On the other hand, unlike the proof of Masur and Wolf, our proof depends upon one of the deeper …

WebThe Complex Structure of the Teichmüller Space 479 The symmetric form Re θAθ¯ B(Imz)2 equals s(A,B)= 2 π δA,BLA + A\ / B c log c+1 c−1 −2. (2.7) Here c =cosθp at each … Webthe iterated EDM ray space associated to X. This space comes from considering asymptote classes of EDM rays, endowing the set of these with a natural metric, and then …

WebTheorem 2.11. Let (l1,l2,l3) ∈ R3 be nonnegative numbers. Then there exists a complete hyperbolic structure X with geodesic boundary on the pair of pants (S2 \ 3 discs) such …

high resistance vertebral waveformWebJan 7, 2024 · structure and ς is a quadratic differential, then there exists a projective structure β such that a - β = q. Moreover, (a - β) + (β - η) = a - η. This all follows from … how many calories in a costco berry smoothieWebApr 28, 2012 · In this paper, we study the asymptotic behavior of Teichmüller geodesic rays in the Gardiner–Masur compactification. We will observe that any Teichmüller geodesic … high resistor emWebNov 17, 2011 · Download PDF Abstract: We highlight several analogies between the Finsler (infinitesimal) properties of Teichmüller's metric and Thurston's asymmetric metric on Teichmüller space. Thurston defined his asymmetric metric in analogy with Teichmüllers' metric, as a solution to an extremal problem, which consists, in the case of the … how many calories in a craft ipaWebThe Teichmüller space has a canonical complex manifold structure and a wealth of natural metrics. The study of geometric features of these various structures is an active body of … how many calories in a cracker biscuithttp://www-personal.umich.edu/~alexmw/CourseNotes.pdf how many calories in a costa vanilla latteWeb2. Teichmull er space and moduli space 4 3. The Deligne-Mumford compacti cation of moduli space 11 4. Jacobians, Hodge structures, and the period mapping 13 5. … high resistivity graphite