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arxiv: hep-th/9505027 · v2 · pith:F5BVJBBSnew · submitted 1995-05-04 · ✦ hep-th · math.QA· q-alg

Topological BF Theories in 3 and 4 Dimensions

Aberto S. Cattaneo , Paolo Cotta-Ramusino , Juerg Froehlich , Maurizio Martellini This is my paper
classification ✦ hep-th math.QAq-alg
keywords dimensionsinvariantsknotsobservablespolynomialstheoriestopologicalalexander
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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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