Refereed Papers  (in English)

・ N. Ito and M. Sakurai, On n-trivialities of classical and virtual knots for some unknotting operations, J. Math. Soc. Japan, accepted. 

・N. Ito, S. Matsuzaki, and K. Taniyama, Circle arrangements of link projections, Kobe J. Math., accepted.

・N. Ito, Based chord diagrams of spherical curves, Kodai Math. J., accepted.

・N. Ito and Y. Takimura, Thirty-two equivalence relations on knot projections, Topology Appl. 225 (2017), 130--138.  (2017/7)

・N. Ito and Y. Takimura, Strong and weak (1, 2) homotopies on knot projections and new invariants, Kobe J. Math., 33 (2016), 13--30. 

・N. Ito and Y. Takimura, On a nontrivial knot projection under (1, 3) homotopy, Toplogy Appl. 210 (2016), 22--28.  (2016/9)

・N. Ito and Y. Takimura, Triple chords and strong (1, 2) homotopy, J. Math. Soc. Japan 68 (2016). 637--651. (2016/4)

・K. Hayano and N. Ito, A new aspect of the Arnold invariant J+ from a global viewpoint, Indiana Univ. Math. J. 64 (2015), 1343--1357.  (2015/11)

・N. Ito and Y. Takimura, Knot projections with reductivity two, Topology Appl. 193 (2015), 290--301.  (2015/9)

・N. Ito and Y. Takimura, Strong and weak (1, 2, 3) homotopies on knot projections, Internat. J. Math. 26 (2015), 1550069 (8 pages). (2015/8)

・N. Ito, Y. Takimura, and K. Taniyama, Strong and weak (1, 3) homotopies on knot projections, Osaka J. Math. 52 (2015), 617--646.  (2015/7)

・N. Ito and Y. Takimura, Sub-chord diagrams of knot projections, Houston J. Math. 41 (2015), 701--725.  (2015/6)

・N. Ito, A colored Khovanov bicomplex, Banach Center Publ. 103 (2014) 111--143.  (2015/1)

・N. Ito and Y. Takimura, (1, 2) and weak (1, 3) homotopies on knot projections, J. Knot Theory Ramifications 22 (2013), 1350085, 14pp.  (2013/12)
<[+] N. Ito and Y. Takimura, Addendum: (1, 2) and weak (1, 3) homotopies on knot projections, J. Knot Theory Ramifications 23 (2014), 1491001, 2pp. (2014/7)>

・N. Ito, Survey and remarks on Viro's definition of Khovanov homology, 9--19, RIMS Kôkyûroku Bessatsu, B39, Res. Inst. Math. Sci. (RIMS), Kyoto, 2013.  (2013/4)

・N. Ito, Jones polynomials of long virtual knots, J. Knot Theory Ramifications 22 (2013), 135002, 17pp.  (2013/02)

・N. Ito and A. Shimizu, The half-twisted splice operation on reduced knot projections, J. Knot Theory Ramifications, 21 (2012), 1250112, 10pp.  (2012/10, published)

・A. Gibson and N. Ito, Finite type invariants of nanowords and nanophrases, Topology Appl. 158 (2011), 1050 -- 1072.  (2011/5)

・N. Ito, Chain homotopy maps for Khovanov homology, J. Knot Theory Ramifications 20 (2011), 127--139.  (2011/01)

・N. Ito, Construction of invariants of curves and fronts using word theory, J. Knot Theory Ramifications 19 (2010), 1205--1245.  (2010/10)

・N. Ito, Finite-type invariants for curves on surfaces, Proc. Japan Acad. Ser. A Math. Sci. 85 (2009), 129--134.  (2009/11)

back

submitted preprints