11 citations · 30 across the 13 of their papers we have counts for
13 papers
Combinatorial description of closed -manifolds via ordered ideal triangulations
Stavros Garoufalidis, Rinat Kashaev, Sakie Suzuki
It is well known that every compact oriented 3-manifold admits an ideal triangulation, and that any two such triangulations with at least two ideal tetrahedra are related by a sequ…
On Matveev-Piergallini moves for branched spines
Kohei Muramatsu, Sakie Suzuki, Koki Taguchi
The Matveev-Piergallini (MP) moves on spines of -manifolds are well-known for their correspondence to the Pachner - moves in dual ideal triangulations. Benedetti and Petro…
Quantum invariants of closed framed -manifolds based on ideal triangulations
Serban Matei Mihalache, Sakie Suzuki, Yuji Terashima
We construct a new type of quantum invariant of closed framed -manifolds with the vanishing first Betti number. The invariant is defined for any finite dimensional Hopf algebra,…
The skein algebra of the Borromean rings complement
Go Miura, Sakie Suzuki
The skein algebra of an oriented -manifold is a classical limit of the Kauffman bracket skein module and gives the coordinate ring of the -character variety. I…
The Heisenberg double of involutory Hopf algebras and invariants of closed -manifolds
Serban Matei Mihalache, Sakie Suzuki, Yuji Terashima
We construct an invariant of closed oriented -manifolds using a finite dimensional, involutory, unimodular and counimodular Hopf algebra . We use the framework of normal o-gr…
The universal quantum invariant and colored ideal triangulations
Sakie Suzuki
The Drinfeld double of a finite dimensional Hopf algebra is a quasi-triangular Hopf algebra with the canonical element as the universal -matrix, and one can obtain a ribbon Hopf…
Riordan trees and the homotopy weight system
Jean-Baptiste Meilhan, Sakie Suzuki
The purpose of this paper is twofold. On one hand, we introduce a modification of the dual canonical basis for invariant tensors of the 3-dimensional irreducible representation of…
The universal sl_2 invariant and Milnor invariants
Jean-Baptiste Meilhan, Sakie Suzuki
The universal sl_2 invariant of string links has a universality property for the colored Jones polynomial of links, and takes values in the h-adic completed tensor powers of the qu…
Bing doubling and the colored Jones polynomial
Sakie Suzuki
Bing doubling is an operation which gives a satellite of a knot. It is also applied to a link by specifying a component of the link. We give a formula to compute the reduced colore…
On the colored Jones polynomials of ribbon links, boundary links and Brunnian links
Sakie Suzuki
Habiro gave principal ideals of Z[q,q^{-1}] in which certain linear combinations of the colored Jones polynomials of algebraically-split links take values. The author proved that t…
On the universal sl_2 invariant of Brunnian bottom tangles
Sakie Suzuki
A link L is called Brunnian if every proper sublink of L is trivial. Similarly, a bottom tangle T is called Brunnian if every proper subtangle of T is trivial. In this paper, we gi…
On the universal sl_2 invariant of boundary bottom tangles
Sakie Suzuki
The universal sl_2 invariant of bottom tangles has a universality property for the colored Jones polynomial of links. Habiro conjectured that the universal sl_2 invariant of bounda…
On the universal sl_2 invariant of ribbon bottom tangles
Sakie Suzuki
A bottom tangle is a tangle in a cube consisting of arc components whose boundary points are on a line in the bottom square of the cube. A ribbon bottom tangle is a bottom tangle w…