Relevant bibliographies by topics / Holomorphic quadratic differentials

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters

Academic literature on the topic 'Holomorphic quadratic differentials'

Author: Grafiati
Published: 6 September 2023

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Journal articles on the topic "Holomorphic quadratic differentials"

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Große, Nadine, and Melanie Rupflin. "Holomorphic quadratic differentials dual to Fenchel–Nielsen coordinates." Annals of Global Analysis and Geometry 55, no. 3 (2018): 479–507. http://dx.doi.org/10.1007/s10455-018-9636-y.

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Kenyon, Richard, and Wai Yeung Lam. "Holomorphic quadratic differentials on graphs and the chromatic polynomial." Journal of Combinatorial Theory, Series A 170 (February 2020): 105140. http://dx.doi.org/10.1016/j.jcta.2019.105140.

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AU, THOMAS KWOK-KEUNG, and TOM YAU-HENG WAN. "PRESCRIBED HORIZONTAL AND VERTICAL TREES PROBLEM OF QUADRATIC DIFFERENTIALS." Communications in Contemporary Mathematics 08, no. 03 (2006): 381–99. http://dx.doi.org/10.1142/s0219199706002155.

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A sufficient condition for the existence of holomorphic quadratic differential on a non-compact simply-connected Riemann surface with prescribed horizontal and vertical trees is obtained. In particular, for any pair of complete ℝ-trees of finite vertices with (n + 2) infinite edges, there exists a polynomial quadratic differential on ℂ of degree n such that the associated vertical and horizontal trees are isometric to the given pair.
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Yao, Guowu. "A note on holomorphic quadratic differentials on the unit disk." Kodai Mathematical Journal 39, no. 1 (2016): 72–79. http://dx.doi.org/10.2996/kmj/1458651692.

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Fernández, Isabel, and Pablo Mira. "Holomorphic quadratic differentials and the Bernstein problem in Heisenberg space." Transactions of the American Mathematical Society 361, no. 11 (2009): 5737–52. http://dx.doi.org/10.1090/s0002-9947-09-04645-5.

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Chang, Zhe. "The Holomorphic Quadratic Differentials of Amplitudes for Strings with Boundaries." Communications in Theoretical Physics 13, no. 1 (1990): 49–56. http://dx.doi.org/10.1088/0253-6102/13/1/49.

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KIRSCHNER, R. "BOUNDARY REPARAMETRIZATIONS AS ADDITIONAL MODULI FOR THE STRING PROPAGATOR." Modern Physics Letters A 04, no. 03 (1989): 283–91. http://dx.doi.org/10.1142/s0217732389000356.

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Analyzing the Polyakov integral on surfaces with boundaries, where the values of the string variables are fixed, we use the observation that there are more holomorphic quadratic differentials besides those obtained as restrictions from the Schottky double. They are naturally related to boundary reparametrizations. The corresponding additional moduli are used to express the integration over metrices. Some details are given for the vacuum functional and the propagator.
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Matone, Marco, and Roberto Volpato. "Linear relations among holomorphic quadratic differentials and induced Siegel's metric on Mg." Journal of Mathematical Physics 52, no. 10 (2011): 102305. http://dx.doi.org/10.1063/1.3653550.

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Sugawa, Toshiyuki. "A conformally invariant metric on Riemann surfaces associated with integrable holomorphic quadratic differentials." Mathematische Zeitschrift 266, no. 3 (2009): 645–64. http://dx.doi.org/10.1007/s00209-009-0590-z.

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ZHANG, C. "SINGULARITIES OF QUADRATIC DIFFERENTIALS AND EXTREMAL TEICHMÜLLER MAPPINGS DEFINED BY DEHN TWISTS." Journal of the Australian Mathematical Society 87, no. 2 (2009): 275–88. http://dx.doi.org/10.1017/s1446788709000032.

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AbstractLet S be a Riemann surface of finite type. Let ω be a pseudo-Anosov map of S that is obtained from Dehn twists along two families {A,B} of simple closed geodesics that fill S. Then ω can be realized as an extremal Teichmüller mapping on a surface of the same type (also denoted by S). Let ϕ be the corresponding holomorphic quadratic differential on S. We show that under certain conditions all possible nonpuncture zeros of ϕ stay away from all closures of once punctured disk components of S∖{A,B}, and the closure of each disk component of S∖{A,B} contains at most one zero of ϕ. As a cons
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Dissertations / Theses on the topic "Holomorphic quadratic differentials"

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Sarkar, Amar Deep. "A Study of Some Conformal Metrics and Invariants on Planar Domains." Thesis, 2018. https://etd.iisc.ac.in/handle/2005/4910.

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The main aim of this thesis is to explain the behaviour of some conformal metrics and invariants near a smooth boundary point of a domain in the complex plane. We will be interested in the invariants associated to the Carathéodory metric such as its higher-order curvatures that were introduced by Burbea and the Aumann-Carathéodory rigidity constant, the Sugawa metric and the Hurwitz metric. The basic technical step in all these is the method of scaling the domain near a smooth boundary point. To estimate the higher-order curvatures using scaling, we generalize an old theorem of Suita on
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Morris, Andrew Jordan. "Local Hardy spaces and quadratic estimates for Dirac type operators on Riemannian manifolds." Phd thesis, 2010. http://hdl.handle.net/1885/8864.

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The connection between quadratic estimates and the existence of a bounded holomorphic functional calculus of an operator provides a framework for applying harmonic analysis to the theory of differential operators. This is a generalization of the connection between Littlewood--Paley--Stein estimates and the functional calculus provided by the Fourier transform. We use the former approach in this thesis to study first-order differential operators on Riemannian manifolds. The theory developed is local in the sense that it does not depend on the spectrum of the operator in a neighbourhood of the o
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Books on the topic "Holomorphic quadratic differentials"

1

Farb, Benson, and Dan Margalit. Teichmuller Geometry. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691147949.003.0012.

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This chapter focuses on the metric geometry of Teichmüller space. It first explains how one can think of Teich(Sɡ) as the space of complex structures on Sɡ. To this end, the chapter defines quasiconformal maps between surfaces and presents a solution to the resulting Teichmüller's extremal problem. It also considers the correspondence between complex structures and hyperbolic structures, along with the Teichmüller mapping, Teichmüller metric, and the proof of Teichmüller's uniqueness and existence theorems. The fundamental connection between Teichmüller's theorems, holomorphic quadratic differ
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Book chapters on the topic "Holomorphic quadratic differentials"

1

Gupta, Subhojoy. "Holomorphic quadratic differentials in Teichmüller theory." In Handbook of Teichmüller Theory, Volume VII. European Mathematical Society Publishing House, 2020. http://dx.doi.org/10.4171/203-1/4.

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Kusunoki, Yukio. "Integrable holomorphic quadratic differentials with simple zeros." In Mathematical Sciences Research Institute Publications. Springer US, 1988. http://dx.doi.org/10.1007/978-1-4613-9602-4_19.

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Lam, Wai Yeung, and Ulrich Pinkall. "Holomorphic Vector Fields and Quadratic Differentials on Planar Triangular Meshes." In Advances in Discrete Differential Geometry. Springer Berlin Heidelberg, 2016. http://dx.doi.org/10.1007/978-3-662-50447-5_7.

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