Braided chord diagrams
Abstract
Description
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.
22 pages,corrected typos so that figures are inserted into text
22 pages,corrected typos so that figures are inserted into text