Refereed Papers  (in English)   Refereed article

・Y. Funakoshi, M. Hashizume, N. Ito, T. Kobayashi, H. Murai,  A distance on the equivalence classes generated by deformations of type RI, J. Knot Theory Ramifications, accepted (2018/08/11).  [submitted: 2017/10/26)]

・N. Ito and Y. Takimura, The tabulation of prime knot projections with their mirror images up to eight double points, Topology Proc., accepted (2018/06/30). 

・N. Ito and M. Sakurai, Higher-order finite type invariants of classical and virtual knots and unknotting operations, Topology Appl., accepted (2018/05/17). 

・N. Ito and M. Sakurai, On n-trivialities of classical and virtual knots for some unknotting operations, J. Math. Soc. Japan, accepted (2017/10/08). 

・N. Ito, Based chord diagrams of spherical curves, Kodai Math. J., 41 (2018), 375--396. [published (2018/06), accepted (2017/07/19)]. 

・N. Ito, S. Matsuzaki, and K. Taniyama, Circle arrangements of link projections, Kobe J. Math. 34 (2017), 27--36 (2017/12). 

・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 (2016/12). 

・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)

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