Framing and the Self-Linking Integral

Details Framing and the Self-Linking Integral Framing and the Self-Linking Integral

2002-11-14

arxiv.org/abs/math/0211223v3

Far East J. Math Sci 14(2) (2004), 165-183

Mathematics

Geometric Topology

11 pages, 1 figure. Xy-pic package used. Appendix deleted, Lemma 3.2 proof corrected

Scientific paper

The Gauss self-linking integral of an unframed knot is not a knot invariant, but it can be turned into an invariant by adding a correction term which requires adding extra structure to the knot. We collect the different definitions/theorems/proofs concerning this correction term, most of which are well-known (at least as folklore) and put everything together in an accessible format. We then show simply and elegantly how these approaches coincide.

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