State-sum invariants of 4-manifolds

被引：79

作者：

Crane, L ^{[1
]}

Kauffman, LH ^{[1
]}

Yetter, DN ^{[1
]}

机构：

[1] UNIV ILLINOIS,DEPT MATH STAT & COMP SCI,CHICAGO,IL 60607

来源：

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 1997年 / 6卷 / 02期

关键词：

D O I：

10.1142/S0218216597000145

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We provide, with proofs, a complete description of the authors' construction of state-sum invariants announced in [CY], and its generalization to an arbitrary (artinian) semisimple tortile category. We also discuss the relationship of these invariants to generalizations of Broda's surgery invariants [Br1,Br2] using techniques developed in the case of the semi-simple sub-quotient of Rep(U-q(sl2)) (q a principal 4r(th) root of unity) by Roberts [Ro1]. We briefly discuss the generalizations to invariants of 4-manifolds equipped with 2-dimensional (co)homology classes introduced by Yetter [Y6] and Roberts [Ro2].

引用

页码：177 / 234

页数：58

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