Invariants of Piecewise-Linear 3-Manifolds
High Energy Physics - Theory
2008-02-03 v3 Quantum Algebra
Abstract
In this paper we develop a theory for constructing an invariant of closed oriented 3-manifolds, given a certain type of Hopf algebra. Examples are given by a quantised enveloping algebra of a semisimple Lie algebra, or by a semisimple involutory Hopf algebra. The invariant is defined by a state sum model on a triangulation. In some cases, the invariant is the partition function of a topological quantum field theory.
Keywords
Cite
@article{arxiv.hep-th/9311155,
title = {Invariants of Piecewise-Linear 3-Manifolds},
author = {John W. Barrett and Bruce W. Westbury},
journal= {arXiv preprint arXiv:hep-th/9311155},
year = {2008}
}
Comments
30 pages, with postscript figures. Manuscript slightly revised to version of 24 June 1994, and TeX standardised to eliminate the use of non-standard macros or fonts