In Dae Jong

J-GLOBAL         Last updated: Sep 1, 2016 at 14:22
 
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Name
In Dae Jong
Affiliation
Kindai University
Section
Faculty of Science and Engineering Department of Science

Research Areas

 
 

Published Papers

 
Kazuhiro Ichihara, In Dae Jong
arXiv:1602.01542      Feb 2016
We present various examples of cosmetic bandings on knots and links, that is, bandings on knots and links leaving their types unchanged. As a byproduct, we give a hyperbolic knot which admits exotic chirally cosmetic surgeries yielding hyperbolic ...
Tetsuya Abe, In Dae Jong, John Luecke, John Osoinach
International Mathematics Research Notices      Feb 2015   [Refereed]
We prove that for any integer n there exist infinitely many different knots in S3 such that n-surgery on those knots yields the same 3-manifold. In particular, when |n|=1 homology spheres arise from these surgeries. This answers Problem 3.6(D) on ...
Kazuhiro Ichihara, In Dae Jong
Proceedings of the japan Academy, Series A, Mathematical Sciences   90(3) 54-56   Mar 2014   [Refereed]
We give a complete classification of toroidal Seifert fibered surgeries on alternating knots. Precisely, we show that if an alternating knot KK admits a toroidal Seifert fibered surgery, then KK is either the trefoil knot and the surgery slope is ...
On positive knots of genus two
In Dae Jong, Kengo Kishimoto
Kobe Journal of Mathematics   30(1--2) 1-18   Nov 2013   [Refereed]
We show that positive knots of genus two are positive-alternating or almost
positive-alternating. We also show that positive knots of genus two are quasialternating.
In addition, we show that every prime positive knot of genus two is obtained
from...
Tetsuya Abe, In Dae Jong, Yuka Omae, Masanori Takeuchi
Mathematical Proceedings of the Cambridge Philosophical Society   155(3) 219-235   Sep 2013   [Refereed]
We give a method for obtaining infinitely many framed knots which represent a diffeomorphic 4-manifold. We also study a relationship between the n-shake genus and the 4-ball genus of a knot. Furthermore we give a construction of homotopy 4-spheres...
Kazuhiro Ichihara, In Dae Jong
Contemporary Mathematics   597(2013) 321-336   Aug 2013   [Refereed]
We give a new criterion for a given knot to be a Montesinos knot by using the Rasmussen invariant and the signature. We apply the criterion to study Seifert fibered surgery on a strongly invertible knot, and show that a (p, q, q)-pretzel knot with...
Kazuhiro Ichihara, In Dae Jong, Yuichi Kabaya
Topology and its Applications   159(4) 1064-1073   Mar 2012   [Refereed]
We give a new criterion for a given knot to be a Montesinos knot by using the Rasmussen invariant and the signature. We apply the criterion to study Seifert fibered surgery on a strongly invertible knot, and show that a (p, q, q)-pretzel knot with...
In Dae Jong
Topology and its Applications   159(4) 1007-1015   Mar 2012   [Refereed]
In the previous paper, the author gave linear inequalities on the coefficients of the Alexander polynomials of alternating knots of genus two, which are best possible as linear inequalities on the coefficients of them. In this paper, we give infin...
Kazuhiro Ichihara, In Dae Jong
Proceedings of the japan Academy, Series A, Mathematical Sciences   87(2) 17-21   Feb 2011   [Refereed]
We introduce new simplicial complexes by using various invariants and local moves for knots, which give generalizations of the Gordian complex defined by Hirasawa and Uchida. In particular, we focus on the simplicial complex defined by using the A...
In Dae Jong
Journal of Knot Theory and its Ramifications   19(8) 1075-1092   Aug 2010   [Refereed]
We give a family of linear inequalities which strictly estimate relation among the coefficients of the Alexander polynomials of alternating knots of genus two. We also give such families for positive knots of genus two, and for homogeneous knots o...
Kazuhiro Ichihara, In Dae Jong
Communications in Analysis and Geometry   18(3) 579-600   Jul 2010   [Refereed]
We show that if a Montesinos knot admits a Dehn surgery yielding a toroidal Seifert fibered 3-manifold, then the knot is the trefoil knot and the surgery slope is 0.
In Dae Jong
Osaka Journal of Mathematics   46(2) 353-371   Jun 2009   [Refereed]
We confirm R.H. Fox's trapezoidal conjecture for alternating knots of genus two by a method different from P. Ozsváth and Z. Szabó's one. As an application, we determine the alternating knots of genus two whose Alexander polynomials have minimal c...
Kazuhiro Ichihara, In Dae Jong
Algebraic and Geometric Topology   9(2) 731-742   Apr 2009   [Refereed]
We give a complete classification of the Dehn surgeries on Montesinos knots which yield manifolds with cyclic or finite fundamental groups.

Conference Activities & Talks

 
Kazuhiro Ichiara, In Dae Jong
E-KOOK Seminar 2016   Aug 2016   
In Dae Jong
The 8th KOOK-TAPU Joint Seminar on Knots and Related Topics   Jul 2016   
Kazuhiro Ichihara, Toshio Saito, In Dae Jong
日本数学会 2016年度年会   16 Mar 2016   
The cosmetic surgery conjecture saids that no pair of Dehn surgeries along inequivalent slopes yield
orientation preservingly homeomorphic 3-manifolds. First I will tlak about a recent result on this conjecture
for certain two-bridge knots. Next I...
Kazuhiro Ichihara, In Dae Jong
The 11th East Asian School of Knots and Related Topics   28 Jan 2016   
A pair of Dehn fillings on a 3-manifold with a torus boundary
are called chirally cosmetic if the obtained pair of manifolds are orientation
reversingly homeomorphic. Cosmetic fillings on a 3-manifold are said to be
exotic if there is no self-home...
Kazuhiro Ichihara, In Dae Jong
拡大KOOKセミナー2015   20 Aug 2015