Results 11 to 20 of about 67,338 (298)
Minimum volume hyperbolic 3-manifolds [PDF]
Journal of Topology, 2009 14 pages; updated and added references, provided a stronger argument regarding Vol3 in section 3, incorporated many helpful comments from Craig Hodgson regarding wording and terminology; corrected ...
Futer +5 more
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HYPERBOLIC 3-MANIFOLDS AND CLUSTER ALGEBRAS [PDF]
Nagoya Mathematical Journal, 2017 We advocate the use of cluster algebras and their $y$ -variables in the study of hyperbolic 3-manifolds. We study hyperbolic structures on the mapping tori of pseudo-Anosov mapping classes of punctured surfaces, and show that cluster $y$ -variables naturally give the solutions of the ...
Nagao, Kentaro +2 more
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On the Melnikov function [PDF]
ریاضی و جامعه, 2023 In this article, we have tried to introduce one of the most important topics in the subject of dynamical systems, namely the Melnikov function, in simple language.
Majid Karimi Amaleh
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Exceptional hyperbolic 3-manifolds [PDF]
Commentarii Mathematici Helvetici, 2015 We correct and complete a conjecture of D. Gabai, R. Meyerhoff and N. Thurston on the classification and properties of thin tubed closed hyperbolic 3-manifolds. We additionally show that if N is a closed hyperbolic 3-manifold, then either
Gabai, David, Trnkova, Maria
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Macfarlane hyperbolic 3–manifolds [PDF]
Algebraic & Geometric Topology, 2018 We identify and study a class of hyperbolic 3-manifolds (which we call Macfarlane manifolds) whose quaternion algebras admit a geometric interpretation analogous to Hamilton's classical model for Euclidean rotations. We characterize these manifolds arithmetically, and show that infinitely many commensurability classes of them arise in diverse ...
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A geometrically bounding hyperbolic link complement [PDF]
, 2015 A finite-volume hyperbolic 3-manifold geometrically bounds if it is the geodesic boundary of a finite-volume hyperbolic 4-manifold. We construct here an example of non-compact, finite-volume hyperbolic 3-manifold that geometrically bounds. The 3-manifold
Slavich, Leone
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No ensemble averaging below the black hole threshold
Journal of High Energy Physics, 2022 In the AdS/CFT correspondence, amplitudes associated to connected bulk manifolds with disconnected boundaries have presented a longstanding mystery. A possible interpretation is that they reflect the effects of averaging over an ensemble of boundary ...
Jean-Marc Schlenker, Edward Witten
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Total mean curvatures of Riemannian hypersurfaces
Advanced Nonlinear Studies, 2023 We obtain a comparison formula for integrals of mean curvatures of Riemannian hypersurfaces via Reilly’s identities. As applications, we derive several geometric inequalities for a convex hypersurface Γ\Gamma in a Cartan-Hadamard manifold MM.
Ghomi Mohammad, Spruck Joel
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Hyperbolic compactification of M-theory and de Sitter quantum gravity
SciPost Physics, 2022 We present a mechanism for accelerated expansion of the universe in the generic case of negative-curvature compactifications of M-theory, with minimal ingredients. M-theory on a hyperbolic manifold with small closed geodesics supporting Casimir energy
G. Bruno De Luca, Eva Silverstein, Gonzalo Torroba
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Precision microstate counting for the entropy of wrapped M5-branes
Journal of High Energy Physics, 2020 We study the large N expansion of twisted partition functions of 3d N $$ \mathcal{N} $$ = 2 superconformal field theories arising from N M5-branes wrapped on a hyperbolic 3- manifold, M 3. Via the 3d-3d correspondence, the partition functions of these 3d
Dongmin Gang +2 more
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