Refereed Papers  (in English)   Refereed article   

・N. Ito and N. Oyamaguchi, Milnor's triple linking number and Gauss diagram formulas of 3-bouquet graphs, J. Knot Theory Ramifications, 2024.

・N. Ito, Curvature and quantized Arnold Strangeness, Internat. J. Math. 2023.

・N. Ito and K. Yamada, Automatic computation of crosscap number of alternating knots, JP J. Geom. and Topol., 2023.

・Y. Bao and N. Ito, gl(1|1)-Alexander polynomial for 3-manifolds, 2023.

・N. Ito, Y. Kotorii, M. Takamura, On Goussarov-Polyak-Viro conjecture of knots with degree three, J. Knot Theory Ramifications, 2022

・K. Intawong and N. Ito, Variations of Milnor's triple linking number, JP J. Geom. and Topol., 2022.

・N. Ito and Y. Takimura, Crosscap number three alternating knots, J.Knot Theory Ramifications, 2022.

・N. Ito and M. Kameyama, On a Poincaré polynomial from Khovanov homology and Vassiliev invariants, JP J. Geom. and Topol., 2022.

・N. Ito and M. Takamura, New invariants of Legendrian knots, Topology Appl., 2022.

・S. Yamaguchi and N. Ito, On elementary moves of singular Legendrian knots, JP J. Geom. and Topol., 2022.

・N. Ito and K. Yamada, Plumbing and computation of crosscap number, JP J. Geom. and Topol., 2021.

・N. Ito, On Khovanov complexes, Topology Appl., 2021.

・M. Hashizume and N. Ito, New deformations on soherical curves and Oestlund conjecture, Topology Appl., 2021.

・N. Ito and M. Takamura, Arrow diagrams on spherical curves and computations, J. Knot Theory Ramifications, 2021.

・N. Ito and Y. Takimura, Any nontrivial knot projection with no triple chords has a monogon or a bigon, Topology Proceedings, 2021.8

・N. Ito and J. Yoshida, A cobordism realizing crossing change on sl2 tangle homology and a categorified Vassiliev skein relation, Topology Appl., 2021.

・N. Ito and N. Oyamaguchi, Gauss diagram formulas of Vassiliev invariants of spatial 2-bouquet graphs, J. Knot Theory Ramifications, 2021.

・N. Ito and Y. Takimura, Crosscap number and volume bounds, Internat. J. Math., (2020/9/22, accepted). see PDF (researchmap page)

・N. Ito and M. Hashizume, New deformations on spherical curves and Oestlund conjecture (available download from arXiv), Topology Appl., (2020/9/15, accepted). see PDF (researchmap page)

・N. Ito, On Khovanov complexes (available download from arXiv), Topology and Its Applications, (2020/4/7, submitted, 2020/7/29, accepted). see PDF (researchmap page)

・N. Ito and Y. Takimura, Positive knots and weak (1, 3) homotopy, J. Knot Theory Ramifications, 2019/10/10, submitted, 2020/6/16, accepted). see PDF (researchmap page)

・N. Ito and J. Yoshida, Crossing change on Khovanov homology and a categorified Vassiliev skein relation (available for download from arXiv), J. Knot Theory Ramifications, available online, (2019/11/25, submitted, 2020/5/11, accepted, 2020/8/17, published). see PDF (researchmap page)

・N. Ito and Y. Takimura, A lower bound of crosscap numbers of alternating knots, J. Knot Theory Ramifications, (2019/3/8, submitted, accepted, 2019/11/22, published, 2020/2/20). see PDF (researchmap page)

・N. Ito, Space of chord diagrams on spherical curves, Internat. J. Math., 1950060, available online. (2017/10/8, submitted, 2019/7/20, revised, 2019/08/15, accepted, 2019/10/11, published). see PDF (researchmap page)

・N. Ito and Y. Takimura, RII number of knot projections (available download from arXiv), Kobe J. Math., (2018/12/3, submitted, 2019/8/1, accepted). see PDF (researchmap page)

・N. Ito and M. Sakurai, Higher-order finite type invariants of classical and virtual knots and unknotting operations (available for download from arXiv), Topology Appl. 264  (2019), 210--222 (2018/5/17, accepted, 2019/6/18, online published). Abstract (researchmap page)

・N. Ito and M. Sakurai, On n-trivialities of classical and virtual knots for some unknotting operations, J. Math. Soc. Japan 71 (2019), 329--347, (2017/10/08, accepted), 2018/11/08, online published.
to PDF (permitted by JMSJ). Abstract (researchmap page)

・N. Ito and Y. Takimura, Crosscap number and knot projections, Internat. J. Math. 29, No.12, 1850084 (21 pages) (2018/09/17, accpepted),  2018/10/25, published. see PDF (researchmap page)

・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 (2018/08/11, accepted), 2018/10/25, published. see PDF (researchmap page)

・N. Ito and Y. Takimura, The tabulation of prime knot projections with their mirror images up to eight double points, Topology Proc. 53 (2019), 177-199 (E-published on 2018/10/02). see PDF (researchmap page)

・N. Ito, Based chord diagrams of spherical curves, Kodai Math. J., 41 (2018), 375--396 (2018/06). Abstract (researchmap page)

・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). 
PDF (: final submitted version, permitted by Kobe Journal of Mathematics)

・N. Ito and Y. Takimura, On a nontrivial knot projection under (1, 3) homotopy, Topology 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)
PDF (permitted by JMSJ)

・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) 
PDF (permitted by Indiana University Mathematics Journal)

・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)
to PDF

・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)
PDF (with permission of HJM)

・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) 
PDF (permitted by RIMS Kôkyûroku Bessatsu)

・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)
PDF (permitted by Proceedings of the Japan Academy, Ser. A, Mathematical Sciences)

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