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Bracelets and the Goussarov Filtration of the Space of Knots

2001/11/30 by Dror Bar-Natan
Mathematics · #math.GT #msc:57M27

paper · pdf

published as Geom. Topol. Monogr. 4(2002) 1-12 · Published by Geometry and Topology Monographs at http://www.maths.warwick.ac.uk/gt/GTMon4/paper1.abs.html

arxiv created 2002/09/23 · arxiv updated 2009/11/30

Abstract

Following Goussarov's paper `Interdependent Modifications of Links and Invariants of Finite Degree' [Topology 37 (1998) 595--602] we describe an alternative finite type theory of knots. While (as shown by Goussarov) the alternative theory turns out to be equivalent to the standard one, it nevertheless has its own share of intrinsic beauty.

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