Results 21 to 30 of about 6,987,948 (273)
On asymptotic Teichmüller space [PDF]
, 2010 In this article we prove that for any hyperbolic Riemann surface M of infinite analytic type, the little Bers space Q0(M) is isomorphic to c0. As a consequence of this result, if M is such a Riemann surface, then its asymptotic Teichm¨uller space AT(M ...
Fletcher, A. (Alastair)
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Crystallography and Riemann surfaces [PDF]
Discrete & Computational Geometry, 2001 The level set of an elliptic function is a doubly periodic point set in C. To obtain a wider spectrum of point sets, we consider, more generally, a Riemann surface S immersed in C^2 and its sections (``cuts'') by C. We give S a crystallographic isometry in C^2 by defining a fundamental surface element as a conformal map of triangular domains and S as ...
openaire +2 more sources
Every bordered Riemann surface is a complete proper curve in a ball [PDF]
, 2012 We prove that every bordered Riemann surface admits a complete proper holomorphic immersion into a ball of $$\mathbb C ^2$$, and a complete proper holomorphic embedding into a ball of $$\mathbb C ^3$$.
A. Alarcón, F. Forstnerič
semanticscholar +1 more source
Complex Manifolds, 2017 This paper gives a full characterization of the reducing subspaces for the multiplication operator Mϕ on the Dirichlet space with symbol of finite Blaschke product ϕ of order 5I 6I 7.
Gu Caixing, Luo Shuaibing, Xiao Jie
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Generalized Riemann-Liouville fractional Bézier curve and its applications in engineering surface
Alexandria Engineering Journal, 2023 Modeling of free-form curves and surfaces is vital in the manufacturing industry and engineering. Curves and surfaces that have flexible shapes and adjustable lengths and sizes are a necessity to fulfill the needs of the manufacturing industry.
Syed Ahmad Aidil Adha Said Mad Zain +2 more
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Twisted Hilbert spaces of 3d supersymmetric gauge theories
Journal of High Energy Physics, 2018 We study aspects of 3d N=2 $$ \mathcal{N}=2 $$ supersymmetric gauge theories on the product of a line and a Riemann surface. Performing a topological twist along the Riemann surface leads to an effective supersymmetric quantum mechanics on the line.
Mathew Bullimore, Andrea Ferrari
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Riemann surfaces for KPZ with periodic boundaries
SciPost Physics, 2020 The Riemann surface for polylogarithms of half-integer index, which has the topology of an infinite dimensional hypercube, is studied in relation to one-dimensional KPZ universality in finite volume. Known exact results for fluctuations of the KPZ height
Sylvain Prolhac
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Nuclear Physics B, 2015 We consider the multiple M2-branes wrapped on a compact Riemann surface and study the arising quantum mechanics by taking the limit where the size of the Riemann surface goes to zero.
Tadashi Okazaki
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On the Riemann surface type of Random Planar Maps [PDF]
, 2011 We show that the (random) Riemann surfaces of the Angel-Schramm Uniform Infinite Planar Triangulation and of Sheffield's infinite necklace construction are both parabolic. In other words, Brownian motion on these surfaces is recurrent.
James T. Gill, S. Rohde
semanticscholar +1 more source
Summing Over World-Sheet Boundaries [PDF]
, 1994 The moduli associated with boundaries in a Riemann surface are parametrized by the positions and strengths of electric charges. This suggests a method for summing over orientable Riemann surfaces with Dirichlet boundary conditions on the embedding ...
Green +5 more
core +3 more sources