Finite Type Invariants of w-Knotted Objects I: w-Knots and the Alexander Polynomial
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]
|Collections||ANU Research Publications|
|Source:||Algebraic and Geometric Topology|
|01_Bar-Natan_Finite-type_Invariants_2016.pdf||1.02 MB||Adobe PDF|
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