PAPERS

1.      On higher dimensional θ-curves, Kobe Journal of Mathematics, 8 (1991), 191-196.

2.      (2,15)-torus knot is not slice in CP2, Proceedings of the Japan Academy, 67, Ser.A (1991), 353-355.

3.      On slice knots in the complex projective plane, Revista Matematica de la Universidad Complutense de Madrid, 5 (1992), 255-276.

4.      Knots that cannot be obtained from the trivial knot by a twisting, Contemporary Mathematics,164 (1994), 139-150. (with Katura Miyazaki).

5.      On C-distance of knots, Kobe Journal of Mathematics, 11 (1994), 117-127. (with Kouki Taniyama).

6.      Crosscap number of a knot, Pacific Journal of Mathematics, 171 (1995) 261-273. (with Hitoshi Murakami).

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7.      Disk/band surface and spatial-graph homology, Topology and its Applications, 69 (1996), 173-191.

8.      Connecting Lemmas and representing homology classes of simply connected 4-manifolds, Tokyo Journal of Mathematics, 19 (1996), 245-261.

9.      Link homology in 4-manifolds, Bulletin of the London Mathematical Society, 28 (1996), 409-412.

10.   Generalized #-unknotting operations, Journal of the Mathematical Society of Japan, 49 (1997), 107-123. (with Katura Miyazaki).

11.   Delta-unknotting operation and adaptability of certain graphs, Proceedings of Knots 96 Tokyo, ed. S. Suzuki, World Scientific Publisher (1997), 115-121.

12.   Disk/band surfaces of spatial graphs, Tokyo Journal of Mathematics, 20 (1997), 1-11.(with Teruhiko Soma and Hideyuki Sugai).

13.   Color invariant for spatial graphs, Journal of Knot Theory and its Ramifications, 6 (1997), 319-325. (with Yuko Ishii).

14.   Null-homologous links in certain 4-manifolds, Journal of Knot Theory and its Ramifications, 8 (1999), 115-123.

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15.   Proper links, algebraically split links and Arf invariant, Journal of the Mathematical Society of Japan, 52 (2000), 591-608. (with Teruhisa Kadokami).

16.   Four-genus and four-dimensional clasp number of a knot, Proceedings of the American Mathematical Society, 128 (2000), 3693-3699. (with Hitoshi Murakami).

17.   Realization of knots and links in a spatial graph, Topology and its Applications, 112 (2001), 87-109. (with Kouki Taniyama).

18.   A characterization of four-genus of knots, Osaka Journal of Mathematics, 38 (2001), 611-618. (with Tetsuo Shibuya).

19.   Torus knots that cannot be untied by twisting, Revista Matematica Complutense, 14 (2001), 423--437. (with Mohamed Ait Nouh).

20.   Clasp-pass move on knots, links and spatial graphs, Topology and its Applications. 122 (2002), 501--529. (with Kouki Taniyama).

21.   Band description of knots and Vassiliev invariants, Mathematical Proceedings of the Cambridge Philosophical Society, 133 (2002), 325--343. (with Kouki Taniyama).

22.   Ck-moves on spatial theta-curves and Vassiliev invariant, Topology and its Applications, 128 (2003), 309--324.

23.   Symmetry of links and classification of lens spaces, Geometriae Dedicata, 98 (2003), 57--61. (with Jozef H. Przytycki).

24.   Local moves on spatial graphs and finite type invariants, Pacific Journal of Mathematics, 211(2003), 183--200. (with Kouki Taniyama).

25.   Branched covers of tangles in three-balls, Canadian Mathematical Bulletin, 46 (2003), 356--364. (with Makiko Ishiwata and Jozef H. Przytycki)

26.   Classification of links up to self pass-move, Journal of the Mathematical Society of Japan, 55 (2003), 939--946. (with Tetsuo Shibuya)

27.   Linking numbers in rational homology 3-spheres, cyclic branched covers and infinite cyclic covers, Transactions of the American Mathematical Society 356 (2004), 3669--3685. (with Jozef H. Przytycki)

28.   Self Ck-move, quasi self Ck-move and the Conway potential function for links, Journal of Knot Theory and Its Ramifications, 13 (2004), 877--893. (with Tetsuo Shibuya).

29.   Signature of rotors, Fundamenta mathematicae, 184 (2004), 79--97 (with Mieczyslaw K. Dabkowski, Makiko Ishiwata and Jozef H. Przytycki).

30.   Self delta-equivalence of cobordant links, Proceedings of the American Mathematical Society,  134 (2006), 2465--2472. (with Yasutaka Nakanishi and Tetsuo Shibuya).

31.   Brunnian local moves of knots and Vassiliev invariants, Fundamenta mathematicae　190 (2006), 289--297.

32.   Classification of n-component Brunnian links up to Cn-move, Topology and its Applications 153 (2006), 1643--1650. (with Haruko Aida Miyazawa)

33.   Cn-move and its duplicated move of links, Journal of Knot Theory and Its Ramifications 15 (2006), 839--851. (with Kazuaki Kobayashi and Tetsuo Shibuya).

34.   A factorization of the Conway polynomial and covering linkage invariants, Journal of Knot Theory and Its Ramifications 16 (2007), 631--640 (with Tatsuya Tsukamoto).

35.   Boundary links are self delta-equivalent to trivial links, Mathematical Proceedings of the Cambridge Philosophical Society　143 (2007), 449--458 (with Tetsuo Shibuya).

36.   Milnors numbers and the self delta classification of 2-string links,  Intelligence of Low Dimensional Topology 2006, Knots and Everything Series, World Scientific (2007),  27--34 (with Thomas Fleming).

37.   Surfaces in 4-manifolds and their mapping class groups, Topology 47 (2008), 41--50 (with Susumu Hirose).

38.   On Cn-moves for links, Pacific Journal of Mathematics  238 (2008), 119--143 (with Jean-Baptiste Meilhan).

39.   Self  Δ-equivalence of links in solid tori  in S3, Kobe Journal of Mathematics., 25 (2008), 59--64 (with Tetsuo Shibuya)

40.   Milnor's invariants and self Ck-equivalence, Proceedings of the American Mathematical Society  137 (2009), 761--770 (with Thomas Fleming).

41.   Classification of string links up to self delta-moves and concordance, Algebraic & Geometric Topology 9 (2009), 265–-275

42.   Self delta-equivalence for links whose Milnor's isotopy invariants vanish,  Transactions of the American Mathematical Society, 361 (2009), 4721--4749.   （excerpt about link-homotopy classification on string links）

43.   Homotopy, Delta-equivalence and concordance for knots in the complement of a trivial link, Topology and its Applications 157 (2010) 1215–-1227 (with Thomas Fleming, Tetsuo Shibuya, and Tatsuya Tsukamoto) 

44.   Characterization of finite type string link invariants of degree <5, Mathematical Proceedings of the Cambridge Philosophical Society 148 (2010) 439—472 (with Jean-Baptiste Meilhan)

45.   An estimation of the Ck-unknotting number for a Ck-trivial link, to appear in Kobe Journal of Mathematics. (with Teruhisa Kadokami).

46.   Whitehead double and Milnor invariants, to appear in Osaka Journal of Mathematics (with Jean-Baptiste Meilhan)

47.   Regular homotopic deformation of compact surface with boundary and mapping class group, preprint (with Susumu Hirose)