Framing and the Self-Linking Integral
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.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- November 2002
- DOI:
- 10.48550/arXiv.math/0211223
- arXiv:
- arXiv:math/0211223
- Bibcode:
- 2002math.....11223M
- Keywords:
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- Mathematics - Geometric Topology;
- Mathematics - Quantum Algebra;
- 57M25
- E-Print:
- 11 pages, 1 figure. Xy-pic package used. Appendix deleted, Lemma 3.2 proof corrected