Invariants of PiecewiseLinear 3Manifolds
Abstract
In this paper we develop a theory for constructing an invariant of closed oriented 3manifolds, 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.
 Publication:

arXiv eprints
 Pub Date:
 November 1993
 arXiv:
 arXiv:hepth/9311155
 Bibcode:
 1993hep.th...11155B
 Keywords:

 High Energy Physics  Theory;
 Mathematics  Quantum Algebra
 EPrint:
 30 pages, with postscript figures. Manuscript slightly revised to version of 24 June 1994, and TeX standardised to eliminate the use of nonstandard macros or fonts