A quadratic bound on the number of boundary slopes of essential surfaces with bounded genus

Tao Li; Ruifeng Qiu; Shicheng Wang

doi:10.1007/s10711-009-9443-5

A quadratic bound on the number of boundary slopes of essential surfaces with bounded genus

Tao Li^*
, Ruifeng Qiu
, Shicheng Wang

^*此作品的通讯作者

数学科学学院

Boston College
Peking University

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

Let M be an orientable 3-manifold with ∂M a single torus. We show that the number of boundary slopes of immersed essential surfaces with genus at most g is bounded by a quadratic function of g. In the hyperbolic case, this was proved earlier by Hass et al.

源语言	英语
页（从-至）	131-138
页数	8
期刊	Geometriae Dedicata
卷	147
期	1
DOI	https://doi.org/10.1007/s10711-009-9443-5
出版状态	已出版 - 2010

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abstract = "Let M be an orientable 3-manifold with ∂M a single torus. We show that the number of boundary slopes of immersed essential surfaces with genus at most g is bounded by a quadratic function of g. In the hyperbolic case, this was proved earlier by Hass et al.",

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AU - Li, Tao

AU - Qiu, Ruifeng

AU - Wang, Shicheng

PY - 2010

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AB - Let M be an orientable 3-manifold with ∂M a single torus. We show that the number of boundary slopes of immersed essential surfaces with genus at most g is bounded by a quadratic function of g. In the hyperbolic case, this was proved earlier by Hass et al.

KW - Boundary slope

KW - Essential surface

UR - https://www.scopus.com/pages/publications/77954243501

U2 - 10.1007/s10711-009-9443-5

DO - 10.1007/s10711-009-9443-5

M3 - 文章

AN - SCOPUS:77954243501

SN - 0046-5755

VL - 147

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EP - 138

JO - Geometriae Dedicata

JF - Geometriae Dedicata

IS - 1

ER -

A quadratic bound on the number of boundary slopes of essential surfaces with bounded genus

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