Relevant bibliographies by topics / Hyperbolic 3-manifolds

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Academic literature on the topic 'Hyperbolic 3-manifolds'

Author: Grafiati
Published: 4 June 2021
Last updated: 15 February 2022

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Dissertations / Theses on the topic "Hyperbolic 3-manifolds"

1

Koundouros, Stilianos. "Hyperbolic 3-manifolds." Thesis, University of Cambridge, 2004. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.615624.

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Agol, Ian. "Topology of hyperbolic 3-manifolds /." Diss., Connect to a 24 p. preview or request complete full text in PDF format. Access restricted to UC campuses, 1998. http://wwwlib.umi.com/cr/ucsd/fullcit?p9906477.

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Kuhlmann, Sally Malinda. "Geodesic knots in hyperbolic 3 manifolds." Connect to thesis, 2005. http://repository.unimelb.edu.au/10187/916.

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This thesis is an investigation of simple closed geodesics, or geodesic knots, in hyperbolic 3-manifolds.<br>Adams, Hass and Scott have shown that every orientable finite volume hyperbolic 3-manifold contains at least one geodesic knot. The first part of this thesis is devoted to extending this result. We show that all cusped and many closed orientable finite volume hyperbolic 3-manifolds contain infinitely many geodesic knots. This is achieved by studying infinite families of closed geodesics limiting to an infinite length geodesic in the manifold. In the cusped manifold case the limiting g
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Cremaschi, Tommaso. "Hyperbolic 3-manifolds of infinite type:." Thesis, Boston College, 2019. http://hdl.handle.net/2345/bc-ir:108468.

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Thesis advisor: Ian Biringer<br>In this thesis we study the class of 3-manifolds that admit a compact exhaustion by hyperbolizable 3-manifolds with incompressible boundary and such that the genus of the boundary components of the elements in the exhaustion is uniformly bounded. For this class we give necessary and sufficient topological conditions that guarantee the existence of a complete hyperbolic metric<br>Thesis (PhD) — Boston College, 2019<br>Submitted to: Boston College. Graduate School of Arts and Sciences<br>Discipline: Mathematics
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Masters, Joseph David. "Lengths and homology of hyperbolic 3-manifolds /." Digital version accessible at:, 1999. http://wwwlib.umi.com/cr/utexas/main.

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Millichap, Christian R. "Mutations and Geometric Invariants of Hyperbolic 3-Manifolds." Diss., Temple University Libraries, 2015. http://cdm16002.contentdm.oclc.org/cdm/ref/collection/p245801coll10/id/321918.

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Mathematics<br>Ph.D.<br>The main goal of this thesis is to examine the quality of geometric invariants of finite volume hyperbolic 3-manifolds. In particular, we examine how to construct large classes of hyperbolic 3-manifolds that are geometrically similar: they have a number of geometric invariants that are the same, but are non-isometric. Large classes of geometrically similar hyperbolic 3-manifolds provide examples where the minimal geometric data needed to determine M must be quite large. For our constructions, we will use a cut and paste operation known as mutation. Ruberman has shown th
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De, Capua Antonio. "Hyperbolic volume estimates via train tracks." Thesis, University of Oxford, 2016. https://ora.ox.ac.uk/objects/uuid:426f7186-e881-482b-90d8-5cbb9b9a38b7.

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In this thesis we describe how to estimate the distance spanned in the pants graph by a train track splitting sequence on a surface, up to multiplicative and additive constants. If some moderate assumptions on a splitting sequence are satisfied, each vertex set of a train track in it will represent a vertex of a graph which is naturally quasi-isometric to the pants graph; moreover the splitting sequence gives an edge-path in this graph so, more precisely, our distance estimate holds between the extreme points of this path. The present distance estimate is inspired by a result of Masur, Mosher
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Burton, Stephan Daniel. "Unknotting Tunnels of Hyperbolic Tunnel Number n Manifolds." BYU ScholarsArchive, 2012. https://scholarsarchive.byu.edu/etd/3307.

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Adams conjectured that unknotting tunnels of tunnel number 1 manifolds are always isotopic to a geodesic. We generalize this question to tunnel number n manifolds. We find that there exist complete hyperbolic structures and a choice of spine of a compression body with genus 1 negative boundary and genus n ≥ 3 outer boundary for which (n−2) edges of the spine self-intersect. We use this to show that there exist finite volume one-cusped hyperbolic manifolds with a system of n tunnels for which (n−1) of the tunnels are homotopic to geodesics arbitrarily close to self-intersecting. This gives evid
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9

Ruffoni, Lorenzo. "Cube Complexes and Virtual Fibering of 3-Manifolds." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2013. http://amslaurea.unibo.it/5637/.

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Una 3-varietà si dice virtualmente fibrata se ammette un rivestimento finito che è un fibrato con base una circonferenza e fibra una superficie. In seguito al lavoro di geometrizzazione di Thurston e Perelman, la generica 3-varietà risulta essere iperbolica; un recente risultato di Agol afferma che una tale varietà è sempre virtualmente fibrata. L’ingrediente principale della prova consiste nell’introduzione, dovuta a Wise, dei complessi cubici nello studio delle 3-varietà iperboliche. Questa tesi si concentra sulle proprietà algebriche e geometriche di queste strutture combinatorie e sul ruo
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Rushton, Brian Craig. "Subdivision Rules, 3-Manifolds, and Circle Packings." BYU ScholarsArchive, 2012. https://scholarsarchive.byu.edu/etd/2985.

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We study the relationship between subdivision rules, 3-dimensional manifolds, and circle packings. We find explicit subdivision rules for closed right-angled hyperbolic manifolds, a large family of hyperbolic manifolds with boundary, and all 3-manifolds of the E^3,H^2 x R, S^2 x R, SL_2(R), and S^3 geometries (up to finite covers). We define subdivision rules in all dimensions and find explicit subdivision rules for the n-dimensional torus as an example in each dimension. We define a graph and space at infinity for all subdivision rules, and use that to show that all subdivision rules for non-
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