Sampling the SU(N) invariants of three-manifolds

被引：5

作者：

Lickorish, WBR

机构：

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

来源：

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 1997年 / 6卷 / 01期

关键词：

D O I：

10.1142/S0218216597000054

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The SU(N) quantum invariants for three-manifolds have been established in a combinatorial way by Yokota starting from the skein theory associated with the HOMFLY polynomial invariant of knot theory. Using Yokota's formulation it is here noted that there are distinct three-manifolds that are not distinguished by these invariants and that there are manifolds distinguished by the SU(N) invariants for N greater than or equal to 3 that have the same SU(2) invariants. A by-product of the investigation is a reversing result for the HOMFLY polynomial.

引用

页码：45 / 60

页数：16

共 16 条

[1]

BLANCHET C, IN PRESS TOPOLOGY

[2]

GYOJA A, 1986, OSAKA J MATH, V23, P841

[3]

HEMPEL J, 1962, TOPOLOGY 3 MANIFOLDS

[4] EXAMPLES OF DIFFERENT 3-MANIFOLDS WITH THE SAME INVARIANTS OF WITTEN AND RESHETIKHIN-TURAEV [J].