Chern-Simons approach to three-manifold invariants
High Energy Physics - Theory
2008-02-03 v1 Quantum Algebra
Abstract
A new, formal, non-combinatorial approach to invariants of three-dimensional manifolds of Reshetikhin, Turaev and Witten in the framework of non-perturbative topological quantum Chern-Simons theory, corresponding to an arbitrary compact simple Lie group, is presented. A direct implementation of surgery instructions in the context of quantum field theory is proposed. An explicit form of the specialization of the invariant to the group SU(2) is derived.
Keywords
Cite
@article{arxiv.hep-th/9312116,
title = {Chern-Simons approach to three-manifold invariants},
author = {Boguslaw Broda},
journal= {arXiv preprint arXiv:hep-th/9312116},
year = {2008}
}
Comments
7 pages, plaintex using macro DEGMACS.TEX of de Gruyter Publ. Co., submitted to Proc. of the 2nd Gauss Symposium, supported by AvH and KBN