Topological BF Theories in 3 and 4 Dimensions

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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25 pages, latex, no figures. Transmission problems have been solved

Scientific paper

10.1063/1.531238

In this paper we discuss topological BF theories in 3 and 4 dimensions. Observables are associated to ordinary knots and links (in 3 dimensions) and to 2-knots (in 4 dimensions). The vacuum expectation values of such observables give a wide range of invariants. Here we consider mainly the 3-dimensional case, where these invariants include Alexander polynomials, HOMFLY polynomials and Kontsevich integrals.

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