Results 11 to 20 of about 71,118 (212)
Counting Hyperbolic Manifolds [PDF]
Geometrical and Functional Analysis GAFA, 2002 Geometric and Functional Analysis, 12 (6)
Burger, M. +3 more
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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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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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Constructing hyperbolic manifolds [PDF]
, 2000 8 pages, proceedings ...
Everitt, Brent, Maclachlan, Colin
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Flexing closed hyperbolic manifolds [PDF]
Geometry & Topology, 2007 As remarked in [\textit{R. E. Schwartz}, Ann. Math. (2) 153, No. 3, 533--598 (2001; Zbl 1055.20040)], it is a basic problem to understand how discrete faithful representations \(\rho:\Gamma\to G_0\) can be deformed if one extends the Lie group \(G_0\) to a larger group \(G_1\).
Cooper, Daryl +2 more
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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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Jurnal Matematika, 2016 The object of the present paper is to initiate the study contact CR- submanifolds of a nearly trans-hyperbolic Sasakian manifold with a quarter symmetric semi metric connection.
Shamsur Rahman
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A hyperbolic analogue of the Atiyah-Hitchin manifold
Journal of High Energy Physics, 2022 The Atiyah-Hitchin manifold is the moduli space of parity inversion symmetric charge two SU(2) monopoles in Euclidean space. Here a hyperbolic analogue is presented, by calculating the boundary metric on the moduli space of parity inversion symmetric ...
Paul Sutcliffe
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A note on Lang's conjecture for quotients of bounded domains [PDF]
Épijournal de Géométrie Algébrique, 2021 It was conjectured by Lang that a complex projective manifold is Kobayashi hyperbolic if and only if it is of general type together with all of its subvarieties.
Sébastien Boucksom, Simone Diverio
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The complement of the figure-eight knot geometrically bounds [PDF]
, 2016 We show that some hyperbolic 3-manifolds which are tessellated by copies of the regular ideal hyperbolic tetrahedron embed geodesically in a complete, finite volume, hyperbolic 4-manifold.
Slavich, Leone
core +2 more sources