Quantum supergroups and topological invariants of three - manifolds
High Energy Physics - Theory
2009-10-28 v1 Quantum Algebra
Abstract
The Reshetikhin - Turaeve approach to topological invariants of three - manifolds is generalized to quantum supergroups. A general method for constructing three - manifold invariants is developed, which requires only the study of the eigenvalues of certain central elements of the quantum supergroup in irreducible representations. To illustrate how the method works, at odd roots of unity is studied in detail, and the corresponding topological invariants are obtained.
Keywords
Cite
@article{arxiv.hep-th/9408177,
title = {Quantum supergroups and topological invariants of three - manifolds},
author = {R. B. Zhang},
journal= {arXiv preprint arXiv:hep-th/9408177},
year = {2009}
}
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22 pages