Black holes and large N complex saddles in 3D-3D correspondence
Journal of High Energy Physics, 2021 We study the large N sign oscillation of the twisted indices for 3D theories of class ℛ obtained from M5-branes wrapped on a hyperbolic 3-manifold. Holographically, the oscillatory behavior can be understood from the imaginary part of on-shell actions ...
Sunjin Choi, Dongmin Gang, Nakwoo Kim
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Transitions in Active Rotator Systems: Invariant Hyperbolic Manifold Approach [PDF]
SIAM Journal on Mathematical Analysis, 2011 Our main focus is on a general class of active rotators with mean field interactions, that is globally coupled large families of dynamical systems on the unit circle with non-trivial stochastic dynamics.
G. Giacomin +3 more
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Hyperbolic 5-manifolds that fiber over $$S^1$$ S 1 [PDF]
Inventiones Mathematicae, 2021 We exhibit some finite-volume cusped hyperbolic 5-manifolds that fiber over the circle. These include the smallest hyperbolic 5-manifold known, discovered by Ratcliffe and Tschantz.
Giovanni Italiano +2 more
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Systoles of hyperbolic manifolds [PDF]
Algebraic & Geometric Topology, 2011 We show that for every $n\geq 2$ and any $ >0$ there exists a compact hyperbolic $n$-manifold with a closed geodesic of length less than $ $. When $ $ is sufficiently small these manifolds are non-arithmetic, and they are obtained by a generalised inbreeding construction which was first suggested by Agol for $n=4$. We also show that for $n\geq 3$
Belolipetsky, Mikhail V +1 more
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Homotopy hyperbolic 3-manifolds are hyperbolic [PDF]
Annals of Mathematics, 2003 This paper introduces a rigorous computer-assisted procedure for analyzing hyperbolic 3-manifolds. This technique is used to complete the proof of several long-standing rigidity conjectures in 3-manifold theory as well as to provide a new lower bound for the volume of a closed orientable hyperbolic 3-manifold.
Gabai, David +2 more
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On the residual finiteness growths of particular hyperbolic manifold groups [PDF]
, 2014 We give a quantification of residual finiteness for the fundamental groups of hyperbolic manifolds that admit a totally geodesic immersion to a compact, right-angled Coxeter orbifold of dimension 3 or 4.
Priyam Patel
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The Combinatorics of Hyperbolized Manifolds [PDF]
MATHEMATICA SCANDINAVICA, 2015 A topological version of a longstanding conjecture of H. Hopf, originally proposed by W. Thurston, states that the sign of the Euler characteristic of a closed aspherical manifold of dimension $d=2m$ depends only on the parity of $m$. Gromov defined several hyperbolization functors which produce an aspherical manifold from a given simplicial or cubical
Allan L. Edmonds, Steven Klee
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Explicit formulae for Chern-Simons invariants of the hyperbolic J(2n,-2m) knot orbifolds
Pracì Mìžnarodnogo Geometričnogo Centru, 2023 We calculate the Chern-Simons invariants of the hyperbolic double twist knot orbifolds using the Schläfli formula for the generalized Chern-Simons function on the family of cone-manifold structures of double twist knots.
Ji-Young Ham, Joongul Lee
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On asymmetric hyperbolic manifolds [PDF]
Mathematical Proceedings of the Cambridge Philosophical Society, 2005 Summary: We show that for every \(n\geq 2\) there exists closed hyperbolic \(n\)-manifolds for which the full group of orientation preserving isometries is trivial.
Alan W. Reid, Darren D. Long
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A Large Class of Non-Constant Mean Curvature Solutions of the Einstein Constraint Equations on an Asymptotically Hyperbolic Manifold [PDF]
, 2010 We construct solutions of the constraint equation with non constant mean curvature on an asymptotically hyperbolic manifold by the conformal method. Our approach consists in decreasing a certain exponent appearing in the equations, constructing solutions
Romain Gicquaud, A. Sakovich
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