Framing and the Self-Linking Integral
Geometric Topology
2007-05-23 v3 Quantum Algebra
Abstract
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.
Keywords
Cite
@article{arxiv.math/0211223,
title = {Framing and the Self-Linking Integral},
author = {Daniel Moskovich},
journal= {arXiv preprint arXiv:math/0211223},
year = {2007}
}
Comments
11 pages, 1 figure. Xy-pic package used. Appendix deleted, Lemma 3.2 proof corrected