Results 11 to 20 of about 452 (150)
Electrostatics and Riemann surfaces [PDF]
European Journal of Physics, 2020 Abstract Using techniques from geometry and complex analysis in their simplest form, we present a derivation of electric fields on surfaces with non-trivial topology. A byproduct of this analysis is an intuitive visualization of elliptic functions when their argument is complex-valued.
Spencer Tamagni, Costas Efthimiou
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Noncommutative Riemann Surfaces [PDF]
Proceedings of Quantum aspects of gauge theories, supersymmetry and unification — PoS(tmr99), 2000 We compactify M(atrix) theory on Riemann surfaces Sigma with genus g>1. Following [1], we construct a projective unitary representation of pi_1(Sigma) realized on L^2(H), with H the upper half-plane. As a first step we introduce a suitably gauged sl_2(R) algebra. Then a uniquely determined gauge connection provides the central extension which is a 2-
G. BERTOLDI +3 more
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Horocycles on Riemann surfaces [PDF]
Proceedings of the American Mathematical Society, 1993 By the Collar Theorem, every puncture on a hyperbolic Riemann surface with punctures has a horocyclic neighborhood of area 2 2
Seppälä, Mika, Sorvali, Tuomas
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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 ...
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A class of Riemann surfaces [PDF]
Proceedings of the American Mathematical Society, 1965 Definition of the class of surfaces. Let { an }n { b3n-2 }" , and b3n-1 I}n be three sequences of real numbers such that for every positive integer n, an > 0, b3n_2 >0 and b3n1> 0; 0
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Holography and Riemann surfaces [PDF]
Advances in Theoretical and Mathematical Physics, 2000 36 pages, 10 figures, references ...
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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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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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Journal of High Energy Physics, 2009 We introduce C-Algebras (quantum analogues of compact Riemann surfaces), defined by polynomial relations in non-commutative variables and containing a real parameter that, when taken to zero, provides a classical non-linear, Poisson-bracket, obtainable from a single polynomial C(onstraint) function.
Arnlind, J. +4 more
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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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