Bracelets and the Goussarov Filtration of the Space of Knots

Details Bracelets and the Goussarov Filtration of the Space of Knots Bracelets and the Goussarov Filtration of the Space of Knots

2001-11-26

arxiv.org/abs/math/0111267v3

Geom. Topol. Monogr. 4(2002) 1-12

Mathematics

Geometric Topology

Published by Geometry and Topology Monographs at http://www.maths.warwick.ac.uk/gt/GTMon4/paper1.abs.html

Scientific paper

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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