Ray structures on teichmüller space
WebJun 3, 2024 · Ray structures on Teichmüller Space 3 Jun 2024 · Huiping Pan, Michael Wolf · Edit social preview. While there may be many Thurston metric geodesics between a pair … 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.
Ray structures on teichmüller space
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WebDec 6, 2012 · This book offers an easy and compact access to the theory of Teichmüller spaces, starting from the most elementary aspects to the most recent developments, e.g. the role this theory plays with regard to string theory. Teichmüller spaces give parametrization of all the complex structures on a given Riemann surface. This subject is … WebSep 22, 2024 · F.P. Gardiner, "Teichmüller theory and quadratic differentials" , Wiley (1987) [a2] O. Lehto, "Univalent functions and Teichmüller spaces" , Springer (1987)
WebThe Teichmüller space is the universal covering orbifold of the (Riemann) moduli space. Teichmüller space has a canonical complex manifold structure and a wealth of natural … WebTeichmuller spaces parametrize this collection of structures. 2 Teichmuller Spaces: Two Perspectives. We’ll give two descriptions of Teichmller spaces and prove that they …
WebMay 17, 2024 · Idea. The Teichmüller space 𝒯 Σ \mathcal{T}_{\Sigma} of a 2-dimensional manifold Σ \Sigma is the moduli space of complex structures on Σ \Sigma, where two … 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).
Web2. 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. …
WebMar 6, 2024 · In mathematics, the Teichmüller space [math]\displaystyle{ T(S) }[/math] of a (real) topological (or differential) surface [math]\displaystyle{ S }[/math], is a space that … dave courtney\\u0027s underworldWebAug 18, 2024 · In mathematics, the Teichmller space T(S) of a (real) topological (or differential) surface S, is a space that parameterizes complex structures on S up to the … dave coutts rolling stoneWebSep 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 … dave coughlanWebDec 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 … black and gold statement earringsWebJan 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 … black and gold stonewareWebTeichm¨uller space Scott A. Wolpert∗ August 21, 2003 1 Introduction Let Rbe a Riemann surface of genus gwith npunctures, 3g− 3+n>0, and T the Teichm¨uller space of R. The Weil-Petersson (WP) metric for T is a K¨ahler metric with negative sectional curvature [4, 35, 36, 41]. With the WP metric T is a unique geodesic space [42]: for each ... black and gold stars backgroundWebJun 3, 2024 · We first depict harmonic map ray structures on Teichmüller space as a geometric transition between Teichmüller ray structures and Thurston geodesic ray … black and gold stickers