拓扑Hopf超代数中3-流形的亨宁斯型不变量

IF 1 2区数学 Q1 MATHEMATICS

Quantum Topology Pub Date : 2018-06-21 DOI:10.4171/qt/142

N. Ha

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引用次数: 3

摘要

证明了展开超代数$\mathcal{U}_{\xi}^{H}\mathfrak{sl}(2|1)$具有拓扑意义上的条带超代数补全，其中$\xi$是奇阶单位的根。利用这个带超代数构造了它的环的全称不变量。我们用它构造了亨宁斯型$3$-流形的不变量。

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A Hennings type invariant of 3-manifolds from a topological Hopf superalgebra

We prove the unrolled superalgebra $\mathcal{U}_{\xi}^{H}\mathfrak{sl}(2|1)$ has a completion which is a ribbon superalgebra in a topological sense where $\xi$ is a root of unity of odd order. Using this ribbon superalgebra we construct its universal invariant of links. We use it to construct an invariant of $3$-manifolds of Hennings type.

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来源期刊

Quantum Topology Mathematics-Geometry and Topology

CiteScore

1.80

自引率

9.10%

发文量

期刊介绍： Quantum Topology is a peer reviewed journal dedicated to publishing original research articles, short communications, and surveys in quantum topology and related areas of mathematics. Topics covered include in particular: Low-dimensional Topology Knot Theory Jones Polynomial and Khovanov Homology Topological Quantum Field Theory Quantum Groups and Hopf Algebras Mapping Class Groups and Teichmüller space Categorification Braid Groups and Braided Categories Fusion Categories Subfactors and Planar Algebras Contact and Symplectic Topology Topological Methods in Physics.