INVARIANTS FOR 3-MANIFOLDS FROM THE COMBINATORICS OF THE JONES POLYNOMIAL

被引：48

作者：

LICKORISH, WBR

机构：

[1] University of Cambridge, Cambridge, CB2 1SB, 16, Mill Lane

来源：

PACIFIC JOURNAL OF MATHEMATICS | 1991年 / 149卷 / 02期

关键词：

D O I：

10.2140/pjm.1991.149.337

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The bracket polynomial of Kauffman first gave an exceedingly simple definition of the Jones polynomial for links. Here it is used to give a short direct proof of the existence of a few of Witten's 3-manifold invariants.

引用

页码：337 / 347

页数：11

共 9 条

[1] KIRBY CALCULUS OF LINKS [J].

FENN, R ;

ROURKE, C .

TOPOLOGY, 1979, 18 (01) :1-15

[2]

KAUFFMAN LH, 1987, TOPOLOGY, V26, P395

[3] CALCULUS FOR FRAMED LINKS IN S3 [J].

KIRBY, R .

INVENTIONES MATHEMATICAE, 1978, 45 (01) :35-56

[4]

KIRBY RC, IN PRESS EVALUATIONS

[5] POLYNOMIALS FOR LINKS [J].

LICKORISH, WBR .

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 1988, 20 :558-588

[6] A REPRESENTATION OF ORIENTABLE COMBINATORIAL 3-MANIFOLDS [J].

LICKORISH, WBR .

ANNALS OF MATHEMATICS, 1962, 76 (03) :531-&

[7] LINEAR SKEIN THEORY AND LINK POLYNOMIALS [J].

LICKORISH, WBR .

TOPOLOGY AND ITS APPLICATIONS, 1987, 27 (03) :265-274

[8]

RESHETIKHIN NY, IN PRESS INVENT MATH

[9] QUANTUM-FIELD THEORY AND THE JONES POLYNOMIAL [J].

WITTEN, E .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1989, 121 (03) :351-399

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