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Finite Type Invariants of w-Knotted Objects I: w-Knots and the Alexander Polynomial

Bar-Natan, Dror; Dancso, Zsuzsanna

Description

This is the first in a series of papers studying w-knots, and more generally, w-knotted objects (w-braids, w-tangles, etc). These are classes of knotted objects which are wider, but weaker than their "usual" counterparts. The group of w-braids was studied (under the name "welded braids") by Fenn, Rimanyi and Rourke and was shown to be isomorphic to the McCool group of "basis- conjugating" automorphisms of a free group Fn: the smallest subgroup of Aut. (Fn) that contains both braids and...[Show more]

CollectionsANU Research Publications
Date published: 2014-05-09
Type: Journal article
URI: http://hdl.handle.net/1885/109261
Source: Algebraic and Geometric Topology
DOI: 10.2140/agt.2016.16.1063

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