Chern-Simons approach to three-manifold invariants

Details Chern-Simons approach to three-manifold invariants Chern-Simons approach to three-manifold invariants

1993-01-22

arxiv.org/abs/hep-th/9301091v2

Mod.Phys.Lett. A10 (1995) 487-494

Physics

High Energy Physics

High Energy Physics - Theory

10 pages

Scientific paper

10.1142/S0217732395000521

% 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.

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