Properties of commensurability classes of hyperbolic knot complements

Properties of commensurability classes of hyperbolic knot complements

This thesis investigates the topology and geometry of hyperbolic knot complements that are commensurable with other knot complements. In chapter 3, we provide an infinite family examples of hyperbolic knot complements commensurable with exactly two other knot complements. In chapter 4, we exhibit an...

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Bibliographic Details
Main Author: Hoffman, Neil Reardon
Format: Others
Language:English
Published: 2011
Subjects:
Knot theory
Hidden symmetries
Knots
Low-dimensional topology
Online Access:http://hdl.handle.net/2152/ETD-UT-2011-05-3063
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spelling ndltd-UTEXAS-oai-repositories.lib.utexas.edu-2152-ETD-UT-2011-05-30632015-09-20T17:00:24ZProperties of commensurability classes of hyperbolic knot complementsHoffman, Neil ReardonKnot theoryHidden symmetriesKnotsLow-dimensional topologyThis thesis investigates the topology and geometry of hyperbolic knot complements that are commensurable with other knot complements. In chapter 3, we provide an infinite family examples of hyperbolic knot complements commensurable with exactly two other knot complements. In chapter 4, we exhibit an obstruction to knot complements admitting exceptional surgeries in conjunction with hidden symmetries. Finally, in chapter 5, we discuss the role of surfaces embedded in 3-orbifolds as it relates to hidden symmetries.text2011-06-16T20:06:40Z2011-06-16T20:06:48Z2011-06-16T20:06:40Z2011-06-16T20:06:48Z2011-052011-06-16May 20112011-06-16T20:06:49Zthesisapplication/pdfhttp://hdl.handle.net/2152/ETD-UT-2011-05-3063eng
collection NDLTD
language English
format Others
sources NDLTD
topic Knot theory
Hidden symmetries
Knots
Low-dimensional topology
spellingShingle Knot theory
Hidden symmetries
Knots
Low-dimensional topology
Hoffman, Neil Reardon
Properties of commensurability classes of hyperbolic knot complements
description This thesis investigates the topology and geometry of hyperbolic knot complements that are commensurable with other knot complements. In chapter 3, we provide an infinite family examples of hyperbolic knot complements commensurable with exactly two other knot complements. In chapter 4, we exhibit an obstruction to knot complements admitting exceptional surgeries in conjunction with hidden symmetries. Finally, in chapter 5, we discuss the role of surfaces embedded in 3-orbifolds as it relates to hidden symmetries. === text
author Hoffman, Neil Reardon
author_facet Hoffman, Neil Reardon
author_sort Hoffman, Neil Reardon
title Properties of commensurability classes of hyperbolic knot complements
title_short Properties of commensurability classes of hyperbolic knot complements
title_full Properties of commensurability classes of hyperbolic knot complements
title_fullStr Properties of commensurability classes of hyperbolic knot complements
title_full_unstemmed Properties of commensurability classes of hyperbolic knot complements
title_sort properties of commensurability classes of hyperbolic knot complements
publishDate 2011
url http://hdl.handle.net/2152/ETD-UT-2011-05-3063
work_keys_str_mv AT hoffmanneilreardon propertiesofcommensurabilityclassesofhyperbolicknotcomplements
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