Non Semi-Simple sl(2) Quantum Invariants, Spin Case

被引：0

作者：

Blanchet, Christian ^{[1
]}

Costantino, Francesco ^{[2
]}

Geer, Nathan ^{[3
]}

Patureau-Mirand, Bertrand ^{[4
]}

机构：

[1] Univ Paris Diderot, Sorbonne Paris Cite, CNRS, IMJ PRG,UMR 7586, F-75013 Paris, France

[2] Univ Toulouse III Paul Sabatier, IMT, F-31062 Toulouse, France

[3] Utah State Univ, Math & Stat, Logan, UT 84322 USA

[4] Univ Bretagne Sud, LMBA, UMR 6205, F-56000 Vannes, France

来源：

ACTA MATHEMATICA VIETNAMICA | 2014年 / 39卷 / 04期

关键词：

Quantum invariants; 3-manifolds; Non semi-simple; Spin structures;

D O I：

10.1007/s40306-014-0089-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Invariants of 3-manifolds from a non semi-simple category of modules over a version of quantum sl(2) were obtained by the last three authors in Costantino et al. ( To appear in J. Topology. 2014). In their construction, the quantum parameter q is a root of unity of order 2r where r > 1 is odd or congruent to 2 modulo 4. In this paper, we consider the remaining cases where r is congruent to zero modulo 4 and produce invariants of 3-manifolds with colored links, equipped with generalized spin structure. For a given 3-anifold M, the relevant generalized spin structures are ( non canonically) parametrized by H-1(M; C/2Z).

引用

页码：481 / 495

页数：15

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[2]

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