Configuration space integrals and invariants for 3-manifolds and knots

Details Configuration space integrals and invariants for 3-manifolds and knots Configuration space integrals and invariants for 3-manifolds and knots

1999-12-10

arxiv.org/abs/math/9912083v1

Low Dimensional Topology, ed. H. Nencka, Cont. Math. 233, 153-165 (1999)

Mathematics

Geometric Topology

17 pages, AMS-LaTeX; proceedings of the Madeira conference on "Low Dimensional Topology," January 1998

Scientific paper

The first part of this paper is a short review of the construction [dg-ga/9710001] of invariants of rational homology 3-spheres and knots in terms of configuration space integrals. The second part describes the relationship between the above construction and Kontsevich's proposal of removing one point from the rational homology sphere. Explicit formulae are computed. In the case of the "Theta" invariant, a comparison with Taubes's construction is briefly discussed.

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