A COMBINATORIAL MATRIX IN 3-MANIFOLD THEORY

被引:30
作者
KO, KH
SMOLINSKY, L
机构
[1] KOREA INST TECHNOL, TAEJON 305701, SOUTH KOREA
[2] LOUISIANA STATE UNIV, DEPT MATH, Baton Rouge, LA 70803 USA
关键词
D O I
10.2140/pjm.1991.149.319
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we study a combinatorial matrix considered by W. B. R. Lickorish. We prove a conjecture by Lickorish that completes his topological and combinatorial proof of the existence of the Witten-Reshetikhin-Turaev 3-manifold invariants. We derive a recursive formula for the determinant of the matrix and discover some interesting numerical relations.
引用
收藏
页码:319 / 336
页数:18
相关论文
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Brualdi R. A., 2010, INTRO COMBINATORICS
[2]  
KIRBY RC, IN PRESS EVALUATIONS
[3]  
LICKORISH WBR, 3 MANIFOLD INVARIANT
[4]  
RESHETIKHIN NY, IN PRESS INVENT MATH
[5]   QUANTUM-FIELD THEORY AND THE JONES POLYNOMIAL [J].
WITTEN, E .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1989, 121 (03) :351-399