Zobrazeno 1 - 10
of 36
pro vyhledávání: '"Suzuki, Sakie"'
The Matveev-Piergallini (MP) moves on spines of $3$-manifolds are well-known for their correspondence to the Pachner $2$-$3$ moves in dual ideal triangulations. Benedetti and Petronio introduced a representation of combed $3$-manifolds using branched
Externí odkaz:
http://arxiv.org/abs/2405.18743
We construct a new type of quantum invariant of closed framed $3$-manifolds with the vanishing first Betti number. The invariant is defined for any finite dimensional Hopf algebra, such as small quantum groups, and is based on ideal triangulations. W
Externí odkaz:
http://arxiv.org/abs/2209.07378
Autor:
Miura, Go, Suzuki, Sakie
Publikováno v:
Internat. J. Math. 33 (2022), no. 8, Paper No. 2250049, 28 pp
The skein algebra of an oriented $3$-manifold is a classical limit of the Kauffman bracket skein module and gives the coordinate ring of the $SL_2(\mathbb{C})$-character variety. In this paper we determine the quotient of a polynomial ring which is i
Externí odkaz:
http://arxiv.org/abs/2108.02884
We construct an invariant of closed oriented $3$-manifolds using a finite dimensional, involutory, unimodular and counimodular Hopf algebra $H$. We use the framework of normal o-graphs introduced by R. Benedetti and C. Petronio, in which one can repr
Externí odkaz:
http://arxiv.org/abs/2104.03037
Autor:
Suzuki, Sakie
Publikováno v:
Algebr. Geom. Topol. 18 (2018) 3363-3402
The Drinfeld double of a finite dimensional Hopf algebra is a quasi-triangular Hopf algebra with the canonical element as the universal $R$-matrix, and one can obtain a ribbon Hopf algebra by adding the ribbon element. The universal quantum invariant
Externí odkaz:
http://arxiv.org/abs/1612.08262
Autor:
Suzuki, Sakie
Kyoto University (京都大学)
0048
甲第16589号
理博第3701号
新制||理||1537(附属図書館)
29264
学位規則第4条第1項該当
0048
甲第16589号
理博第3701号
新制||理||1537(附属図書館)
29264
学位規則第4条第1項該当
Externí odkaz:
http://hdl.handle.net/2433/157739
Autor:
Meilhan, Jean-Baptiste, Suzuki, Sakie
Publikováno v:
J. Pure and Applied Algebra 221 (2017), No. 3, 691-706
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 $U_q(sl_2)$, given in terms of Jacobi diagrams, a central tool in quan
Externí odkaz:
http://arxiv.org/abs/1507.04454
Autor:
Meilhan, Jean-Baptiste, Suzuki, Sakie
Publikováno v:
Int. J. Math. 27, No 11 (2016)
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 quantized enveloping algebra of sl_2. In this paper, we exhibit explicit
Externí odkaz:
http://arxiv.org/abs/1405.3062
Autor:
Suzuki, Sakie
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 colored Jones polynomial of a Bing double by using that of the companion. Th
Externí odkaz:
http://arxiv.org/abs/1305.0602
Autor:
Suzuki, Sakie
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 the same linear combinations for ribbon links, boundary links and Brunn
Externí odkaz:
http://arxiv.org/abs/1111.6408