Braided chord diagrams

Details Braided chord diagrams Braided chord diagrams

1998-04-03

arxiv.org/abs/math/9804020v2

Jnl Knot Th. 7 (1998),1-22

Mathematics

Geometric Topology

22 pages,corrected typos so that figures are inserted into text

Scientific paper

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.

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