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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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Super Riemann Surfaces and Fatgraphs
Universe, 2023 Our goal is to describe superconformal structures on super Riemann surfaces (SRSs) based on data assigned to a fatgraph. We start from the complex structures on punctured (1|1)-supermanifolds, characterizing the corresponding moduli and the deformations ...
Albert S. Schwarz, Anton M. Zeitlin
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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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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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Riemann-Roch theorem and Kodaira-Serre duality
Annals of the West University of Timisoara: Mathematics and Computer Science, 2022 The Riemann-Roch theorem is of utmost importance and a vital tool to the fields of complex analysis and algebraic geometry, specifically in the algebraic geometric theory of compact Riemann surfaces.
Lesfari A.
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Journal of High Energy Physics, 2019 The main geometric ingredient of the closed string field theory are the string vertices, the collections of string diagrams describing the elementary closed string interactions, satisfying the quantum Batalian-Vilkovisky master equation.
Seyed Faroogh Moosavian, Roji Pius
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A sufficiently complicated noded Schottky group of rank three
Cubo, 2020 In 1974, Marden proved the existence of non-classical Schottky groups by a theoretical and non-constructive argument. Explicit examples are only known in rank two; the first one by Yamamoto in 1991 and later by Williams in 2009.
Rubén A. Hidalgo
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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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Scattering of vortices in abelian higgs models on compact riemann surfaces
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015 Abelian Higgs models on Riemann surfaces are natural analogues of the (2 + 1)-dimensional Abelian Higgs model on the plane. The latter model arises in theory of superconductivity.
Roman V Palvelev
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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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