Chern-Simons approach to three-manifold invariants

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

1993-12-14

arxiv.org/abs/hep-th/9312116v1

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, plaintex using macro DEGMACS.TEX of de Gruyter Publ. Co., submitted to Proc. of the 2nd Gauss Symposium, supported by

Scientific paper

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.

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