52 citations · 85 across the 5 of their papers we have counts for
4 papers · 1 filter
Brunnian links, claspers and Goussarov-Vassiliev finite type invariants
Kazuo Habiro
We prove that if n\ge1, then an (n+1)-component Brunnian link L in a connected, oriented 3-manifold is C_n-equivalent to an unlink. We also prove that if n\ge2, then L can not be d…
Replacing a graph clasper by tree claspers
Kazuo Habiro
We prove that two links related by a surgery along a connected, strict graph clasper of degree n are C_n-equivalent, i.e, related by a sequence of surgeries along strict tree clasp…
Refined Kirby calculus for integral homology spheres
Kazuo Habiro
A theorem of Kirby states that two framed links in the 3-sphere produce orientation-preserving homeomorphic results of surgery if they are related by a sequence of stabilization an…
Bottom tangles and universal invariants
Kazuo Habiro
A bottom tangle is a tangle in a cube consisting only of arc components, each of which has the two endpoints on the bottom line of the cube, placed next to each other. We introduce…