English

Chern-Simons approach to three-manifold invariants

High Energy Physics - Theory 2009-10-22 v2 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, and shown to agree with the result of Lickorish. % % AMS subject classifications (1991): 57M25, 57N10, 57R65, 81T13.

Keywords

Cite

@article{arxiv.hep-th/9301091,
  title  = {Chern-Simons approach to three-manifold invariants},
  author = {Boguslaw Broda},
  journal= {arXiv preprint arXiv:hep-th/9301091},
  year   = {2009}
}

Comments

10 pages

R2 v1 2026-07-22T15:44:52.554Z