52 citations · 85 across the 5 of their papers we have counts for
9 papers
A unified Witten-Reshetikhin-Turaev invariant for integral homology spheres
Kazuo Habiro
We construct an invariant J_M of integral homology spheres M with values in a completion \hat{Z[q]} of the polynomial ring Z[q] such that the evaluation at each root of unity ζgive…
An integral form of the quantized enveloping algebra of sl_2 and its completions
Kazuo Habiro
We introduce an integral form U of the quantized enveloping algebra of sl_2. The algebra U is just large enough so that the quasi-R-matrix is contained in a completion of U\otimes…
On the Kontsevich integral of Brunnian links
Kazuo Habiro, Jean-Baptiste Meilhan
The purpose of the paper is twofold. First, we give a short proof using the Kontsevich integral for the fact that the restriction of an invariant of degree 2n to (n+1)-component Br…
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…