Closed quasi-Fuchsian surfaces in hyperbolic knot complements

Joseph D. Masters; Xingru Zhang

doi:10.2140/gt.2008.12.2095

Closed quasi-Fuchsian surfaces in hyperbolic knot complements

Joseph D. Masters
, Xingru Zhang

Mathematics

SUNY Buffalo

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

We show that every hyperbolic knot complement contains a closed quasi-Fuchsian surface.

Original language	English
Pages (from-to)	2095-2171
Number of pages	77
Journal	Geometry and Topology
Volume	12
Issue number	4
DOIs	https://doi.org/10.2140/gt.2008.12.2095
State	Published - 2008

Keywords

Hyperbolic manifold
Quasi-Fuchsian surface
π1-Injective surface

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title = "Closed quasi-Fuchsian surfaces in hyperbolic knot complements",

abstract = "We show that every hyperbolic knot complement contains a closed quasi-Fuchsian surface.",

keywords = "Hyperbolic manifold, Quasi-Fuchsian surface, π1-Injective surface",

author = "Masters, \{Joseph D.\} and Xingru Zhang",

year = "2008",

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language = "English",

volume = "12",

pages = "2095--2171",

journal = "Geometry and Topology",

issn = "1465-3060",

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AU - Masters, Joseph D.

AU - Zhang, Xingru

PY - 2008

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N2 - We show that every hyperbolic knot complement contains a closed quasi-Fuchsian surface.

AB - We show that every hyperbolic knot complement contains a closed quasi-Fuchsian surface.

KW - Hyperbolic manifold

KW - Quasi-Fuchsian surface

KW - π1-Injective surface

UR - https://www.scopus.com/pages/publications/74249103203

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DO - 10.2140/gt.2008.12.2095

M3 - Article

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SN - 1465-3060

VL - 12

SP - 2095

EP - 2171

JO - Geometry and Topology

JF - Geometry and Topology

IS - 4

ER -

Closed quasi-Fuchsian surfaces in hyperbolic knot complements

Abstract

Keywords

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