A surgery representation of 3-dimensional homology spheres

Qing Zhou

A surgery representation of 3-dimensional homology spheres

Qing Zhou^*

^*Corresponding author for this work

School of Mathematical Sciences

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

Abstract

It is proved that for any 3-dimensional homology sphere M, there is a sequence of homology spheres M₀, M₁, ⋯ , M_s such that M₀ = S³, M_s = M and each M_i is a result of ±1 surgery of M_i-1 along a knot.

Original language	English
Pages (from-to)	435-438
Number of pages	4
Journal	Chinese Annals of Mathematics. Series B
Volume	18
Issue number	4
State	Published - 1997

Keywords

3-dimensional homology sphere
Knot
Surgery

Cite this

@article{2f8a7af0bb43473fa49b04d284ad2817,

title = "A surgery representation of 3-dimensional homology spheres",

abstract = "It is proved that for any 3-dimensional homology sphere M, there is a sequence of homology spheres M0, M1, ⋯ , Ms such that M0 = S3, Ms = M and each Mi is a result of ±1 surgery of Mi-1 along a knot.",

keywords = "3-dimensional homology sphere, Knot, Surgery",

author = "Qing Zhou",

year = "1997",

language = "英语",

volume = "18",

pages = "435--438",

journal = "Chinese Annals of Mathematics. Series B",

issn = "0252-9599",

publisher = "Springer Verlag",

number = "4",

}

TY - JOUR

T1 - A surgery representation of 3-dimensional homology spheres

AU - Zhou, Qing

PY - 1997

Y1 - 1997

N2 - It is proved that for any 3-dimensional homology sphere M, there is a sequence of homology spheres M0, M1, ⋯ , Ms such that M0 = S3, Ms = M and each Mi is a result of ±1 surgery of Mi-1 along a knot.

AB - It is proved that for any 3-dimensional homology sphere M, there is a sequence of homology spheres M0, M1, ⋯ , Ms such that M0 = S3, Ms = M and each Mi is a result of ±1 surgery of Mi-1 along a knot.

KW - 3-dimensional homology sphere

KW - Knot

KW - Surgery

UR - https://www.scopus.com/pages/publications/26044441182

M3 - 文章

AN - SCOPUS:26044441182

SN - 0252-9599

VL - 18

SP - 435

EP - 438

JO - Chinese Annals of Mathematics. Series B

JF - Chinese Annals of Mathematics. Series B

IS - 4

ER -

A surgery representation of 3-dimensional homology spheres

Abstract

Keywords

Other files and links

Cite this