Infinitely many hyperbolic 3-manifolds admitting distance-d and genus-g Heegaard splittings

Faze Zhang; Ruifeng Qiu; Yanqing Zou

doi:10.1007/s10711-015-0120-6

Infinitely many hyperbolic 3-manifolds admitting distance-d and genus-g Heegaard splittings

Faze Zhang
, Ruifeng Qiu
, Yanqing Zou^*

^*Corresponding author for this work

School of Mathematical Sciences

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

6 Scopus citations

Abstract

We prove that for any two integers (Formula presented.) and (Formula presented.) , there are infinitely many non-homeomorphic hyperbolic three dimensional manifolds so that each one has a distance d genus g Heegaard splitting.

Original language	English
Pages (from-to)	213-222
Number of pages	10
Journal	Geometriae Dedicata
Volume	181
Issue number	1
DOIs	https://doi.org/10.1007/s10711-015-0120-6
State	Published - 1 Apr 2016

Keywords

Curve complex
Heegaard distance
Hyperbolic 3-manifolds

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title = "Infinitely many hyperbolic 3-manifolds admitting distance-d and genus-g Heegaard splittings",

abstract = "We prove that for any two integers (Formula presented.) and (Formula presented.) , there are infinitely many non-homeomorphic hyperbolic three dimensional manifolds so that each one has a distance d genus g Heegaard splitting.",

keywords = "Curve complex, Heegaard distance, Hyperbolic 3-manifolds",

author = "Faze Zhang and Ruifeng Qiu and Yanqing Zou",

note = "Publisher Copyright: {\textcopyright} 2015, Springer Science+Business Media Dordrecht.",

year = "2016",

month = apr,

day = "1",

doi = "10.1007/s10711-015-0120-6",

language = "英语",

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T1 - Infinitely many hyperbolic 3-manifolds admitting distance-d and genus-g Heegaard splittings

AU - Zhang, Faze

AU - Qiu, Ruifeng

AU - Zou, Yanqing

PY - 2016/4/1

Y1 - 2016/4/1

N2 - We prove that for any two integers (Formula presented.) and (Formula presented.) , there are infinitely many non-homeomorphic hyperbolic three dimensional manifolds so that each one has a distance d genus g Heegaard splitting.

AB - We prove that for any two integers (Formula presented.) and (Formula presented.) , there are infinitely many non-homeomorphic hyperbolic three dimensional manifolds so that each one has a distance d genus g Heegaard splitting.

KW - Curve complex

KW - Heegaard distance

KW - Hyperbolic 3-manifolds

UR - https://www.scopus.com/pages/publications/84944527267

U2 - 10.1007/s10711-015-0120-6

DO - 10.1007/s10711-015-0120-6

M3 - 文章

AN - SCOPUS:84944527267

SN - 0046-5755

VL - 181

SP - 213

EP - 222

JO - Geometriae Dedicata

JF - Geometriae Dedicata

IS - 1

ER -

Infinitely many hyperbolic 3-manifolds admitting distance-d and genus-g Heegaard splittings

Abstract

Keywords

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