*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.