Braided chord diagrams
Abstract
The notion of a braided chord diagram is introduced and studied. An equivalence relation is given which identifies all braidings of a fixed chord diagram. It is shown that finite-type invariants are stratified by braid index for knots which can be represented as closed 3-braids. Partial results are obtained about spanning sets for the algebra of chord diagrams of braid index 3.
- Publication:
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arXiv Mathematics e-prints
- Pub Date:
- April 1998
- DOI:
- 10.48550/arXiv.math/9804020
- arXiv:
- arXiv:math/9804020
- Bibcode:
- 1998math......4020B
- Keywords:
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- Geometric Topology
- E-Print:
- 22 pages,corrected typos so that figures are inserted into text