3-Manifold containing separating incompressible surfaces of all positive genera

Ji Ming Ma; Rui Feng Qiu

doi:10.1007/s10114-005-0586-5

3-Manifold containing separating incompressible surfaces of all positive genera

Ji Ming Ma, Rui Feng Qiu

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

1 Scopus citations

Abstract

In this paper, we shall prove that for any orientable 3-manifold M, there is a link L = K ∪. K ₁ ∪ K ₂ ∪ K ₃ with four components in M, such that the complement of L, say M _L, contains separating essential closed surfaces of all positive genera.

Original language	English
Pages (from-to)	1315-1318
Number of pages	4
Journal	Acta Mathematica Sinica, English Series
Volume	21
Issue number	6
DOIs	https://doi.org/10.1007/s10114-005-0586-5
State	Published - Dec 2005
Externally published	Yes

Keywords

3-manifolds
Incompressible surface
Knot

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10.1007/s10114-005-0586-5

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title = "3-Manifold containing separating incompressible surfaces of all positive genera",

abstract = "In this paper, we shall prove that for any orientable 3-manifold M, there is a link L = K ∪. K 1 ∪ K 2 ∪ K 3 with four components in M, such that the complement of L, say M L, contains separating essential closed surfaces of all positive genera.",

keywords = "3-manifolds, Incompressible surface, Knot",

author = "Ma, \{Ji Ming\} and Qiu, \{Rui Feng\}",

year = "2005",

month = dec,

doi = "10.1007/s10114-005-0586-5",

language = "英语",

volume = "21",

pages = "1315--1318",

journal = "Acta Mathematica Sinica, English Series",

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number = "6",

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T1 - 3-Manifold containing separating incompressible surfaces of all positive genera

AU - Ma, Ji Ming

AU - Qiu, Rui Feng

PY - 2005/12

Y1 - 2005/12

N2 - In this paper, we shall prove that for any orientable 3-manifold M, there is a link L = K ∪. K 1 ∪ K 2 ∪ K 3 with four components in M, such that the complement of L, say M L, contains separating essential closed surfaces of all positive genera.

AB - In this paper, we shall prove that for any orientable 3-manifold M, there is a link L = K ∪. K 1 ∪ K 2 ∪ K 3 with four components in M, such that the complement of L, say M L, contains separating essential closed surfaces of all positive genera.

KW - 3-manifolds

KW - Incompressible surface

KW - Knot

UR - https://www.scopus.com/pages/publications/28144458716

U2 - 10.1007/s10114-005-0586-5

DO - 10.1007/s10114-005-0586-5

M3 - 文章

AN - SCOPUS:28144458716

SN - 1439-8516

VL - 21

SP - 1315

EP - 1318

JO - Acta Mathematica Sinica, English Series

JF - Acta Mathematica Sinica, English Series

IS - 6

ER -

3-Manifold containing separating incompressible surfaces of all positive genera

Abstract

Keywords

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