Invariants of knots and 3-manifolds (Kyoto 2001), Geometry and Topology Monographs 4, 1-12.
posted Nov. 26, 2001, last updated Oct. 13, 2003
In memory of Mikhail Nikolaevitch Goussarov
Following Goussarov's paper "Interdependent Modifications of Links and Invariants of Finite Degree" 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.
The paper: Bracelets.ps, Bracelets.pdf.
The published version: Invariants of knots and 3-manifolds (Kyoto 2001), Geometry and Topology Monographs 4, 1-12.
See also arXiv:math.GT/0111267.