Computer classification of 3-manifolds

被引：0

作者：

Matveev, SV ^{[1
]}

机构：

[1] Chelyabinsk State Univ, Chelyabinsk 454021, Russia

来源：

RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS | 2000年 / 7卷 / 03期

关键词：

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We describe some basic facts of the complexity theory for S-manifolds and a method to classify all closed irreducible orientable S-manifolds up to the complexity 9. The crucial role is played by special spines of 3-manifolds and by the Turaev-Viro invariants.

引用

页码：319 / 329

页数：11

共 50 条

[1] CLASSIFICATION OF HOMEOMORPHISMS OF 2-MANIFOLDS AND THE CLASSIFICATION OF 3-MANIFOLDS
HEMION, G
ACTA MATHEMATICA, 1979, 142 (1-2) : 119 - 155
[2] Classification of framed links in 3-manifolds
Cencelj, Matija
Repovs, Dusan
Skopenkov, Mikhail B.
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2007, 117 (03): : 301 - 306
[3] A TOPOLOGICAL CLASSIFICATION OF CERTAIN 3-MANIFOLDS
NEUWIRTH, L
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1963, 69 (03) : 372 - &
[4] A TOPOLOGICAL CLASSIFICATION OF CERTAIN 3-MANIFOLDS
BURDE, G
ZIESCHAN.H
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1968, 74 (01) : 122 - &
[5] CLASSIFICATION OF ACTIONS OF CIRCLE ON 3-MANIFOLDS
RAYMOND, F
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1968, 131 (01) : 51 - &
[6] Classification of framed links in 3-manifolds
Matija Cencelj
Dušan Repovš
Mikhail B. Skopenkov
Proceedings Mathematical Sciences, 2007, 117 : 301 - 306
[7] CLASSIFICATION OF 3-MANIFOLDS WITH CERTAIN SPINES
STEVENS, RS
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 205 (APR) : 151 - 166
[8] A COMPUTER-SEARCH FOR CONTRACTIBLE 3-MANIFOLDS
GILLMAN, D
LASZLO, P
TOPOLOGY AND ITS APPLICATIONS, 1983, 16 (01) : 33 - 41
[9] CLASSIFICATION OF OVERTWISTED CONTACT STRUCTURES ON 3-MANIFOLDS
ELIASHBERG, Y
INVENTIONES MATHEMATICAE, 1989, 98 (03) : 623 - 637
[10] A classification of isometry groups of homogeneous 3-manifolds
Konstantis, Panagiotis
Loose, Frank
MATHEMATISCHE NACHRICHTEN, 2016, 289 (13) : 1648 - 1664

← 1 2 3 4 5 →