The curve complex and covers via hyperbolic 3-manifolds

Robert Tang

doi:10.1007/s10711-012-9703-7

The curve complex and covers via hyperbolic 3-manifolds

Robert Tang^*

^*Corresponding author for this work

University of Warwick

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

3 Citations (Scopus)

Abstract

Rafi and Schleimer recently proved that the natural relation between curve complexes induced by a covering map between two surfaces is a quasi-isometric embedding. We offer another proof of this result using a distance estimate via hyperbolic 3-manifolds.

Original language	English
Pages (from-to)	233-237
Number of pages	5
Journal	Geometriae Dedicata
Volume	161
Issue number	1
DOIs	https://doi.org/10.1007/s10711-012-9703-7
Publication status	Published - Dec 2012
Externally published	Yes

Keywords

Covering spaces
Curve complex
Hyperbolic 3-manifolds
Quasi-isometric embedding

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10.1007/s10711-012-9703-7

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title = "The curve complex and covers via hyperbolic 3-manifolds",

abstract = "Rafi and Schleimer recently proved that the natural relation between curve complexes induced by a covering map between two surfaces is a quasi-isometric embedding. We offer another proof of this result using a distance estimate via hyperbolic 3-manifolds.",

keywords = "Covering spaces, Curve complex, Hyperbolic 3-manifolds, Quasi-isometric embedding",

author = "Robert Tang",

year = "2012",

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doi = "10.1007/s10711-012-9703-7",

language = "English",

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KW - Covering spaces

KW - Curve complex

KW - Hyperbolic 3-manifolds

KW - Quasi-isometric embedding

UR - https://www.scopus.com/pages/publications/84869107212

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DO - 10.1007/s10711-012-9703-7

M3 - Article

AN - SCOPUS:84869107212

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SP - 233

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JO - Geometriae Dedicata

JF - Geometriae Dedicata

IS - 1

ER -

The curve complex and covers via hyperbolic 3-manifolds

Abstract

Keywords

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