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of 3 054
pro vyhledávání: '"Hyperbolic 3-manifold"'
Autor:
Geffen, Shirly, Kranz, Julian
Using Kirchberg-Phillips' classification of purely infinite C*-algebras by K-theory, we prove that the isomorphism types of crossed product C*-algebras associated to certain hyperbolic 3-manifold groups acting on their Gromov boundary only depend on
Externí odkaz:
http://arxiv.org/abs/2407.15215
Autor:
Biringer, Ian
We prove a finiteness theorem for subgroups of bounded rank in hyperbolic $3$-manifold groups. As a consequence, we show that every bounded rank covering tower of closed hyperbolic $3$-manifolds is a tower of finite covers associated to a fibration o
Externí odkaz:
http://arxiv.org/abs/2401.01328
Autor:
Assal, Fernando Al
Let $M$ be a closed hyperbolic 3-manifold. Let $\nu_{Gr(M)}$ denote the probability volume (Haar) measure of the 2-plane Grassmann bundle $Gr(M)$ of $M$ and let $\nu_T$ denote the area measure on $Gr(M)$ of an immersed closed totally geodesic surface
Externí odkaz:
http://arxiv.org/abs/2309.02164
Autor:
Wheeler, Campbell
This paper proves quantum modularity of both functions from $\mathbb{Q}$ and $q$-series associated to the closed manifold obtained by $-1/2$ surgery on the figure-eight knot, $4_1(-1,2)$. In a sense, this is a companion to work of Garoufalidis-Zagier
Externí odkaz:
http://arxiv.org/abs/2308.03265
Autor:
Zhang, Yue
The minimal volume of orientable hyperbolic manifolds with a given number of cusps has been found for $0,1,2,4$ cusps, while the minimal volume of 3-cusped orientable hyperbolic manifolds remains unknown. By using guts in sutured manifolds and pared
Externí odkaz:
http://arxiv.org/abs/2304.09950
Akademický článek
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Autor:
Sakai, Shunsuke, Sakuma, Makoto
We give a detailed account of Agol's theorem and his proof concerning two-meridional-generator subgroups of hyperbolic 2-bridge link groups, which is included in the slide of his talk at the Bolyai conference 2001. We also give a generalization of th
Externí odkaz:
http://arxiv.org/abs/2302.11031
Akademický článek
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Let $\langle I_{1}, I_{2}, I_{3}\rangle$ be the complex hyperbolic $(4,4,\infty)$ triangle group. In this paper we give a proof of a conjecture of Schwartz for $\langle I_{1}, I_{2}, I_{3}\rangle$. That is $\langle I_{1}, I_{2}, I_{3}\rangle$ is disc
Externí odkaz:
http://arxiv.org/abs/2101.09861
Autor:
Cremaschi, Tommaso
We construct a locally hyperbolic 3-manifold $M$ such that $\pi_ 1(M)$ has no divisible subgroups. We then show that $M$ is not homotopy equivalent to any complete hyperbolic manifold.
Comment: arXiv admin note: text overlap with arXiv:1711.1156
Comment: arXiv admin note: text overlap with arXiv:1711.1156
Externí odkaz:
http://arxiv.org/abs/1812.03840