KAWAUCHI, Akio's Papers, Preprints and Miscellaneous things on Researches of Knot Theory and 3, 4-Dimensional Manifolds February 13, 2020 |

136. Smooth homotopy 4-sphere. Preprint version is here. (November 8, 2019; Revised November 26, 2019)

135. Unique diagram of a spatial arc and the knotting probability. Preprint version is here. (July 1, 2019; Revised September 12, 2019; Minor corrections November 15, 2019)

134.Knotting probability of an arc diagram. Preprint version is here. (July 1, 2019; Revied July 22, 2019; Minor corrections November 15, 2019)

133. Ribbonness of a stable-ribbon surface-link, II. General case. Preprint version is here (May 7, 2019; Revised on June 13, 2019; Minor corrections August 19, 2019).

132. Triviality of a surface-link with meridian-based free fundamental group. Preprint version is here (Revised March 31, 2019).

131. Ribbonness of a stable-ribbon surface-link, I. A stably trivial surface-link. Preprint version is here (Revised on February 13, 2020).

130. Homological infinity of 4D universe for every 3-manifold,

Preprint version is here.

129. Topology of a 4D universe for every 3-manifold. Topology and its Applications, 264 (2019), 66-78. Preprint version is here.

128. (with A. Shimizu and Y. Yaguchi) Cross-index of a graph, Kyungpook Math. J. 59 (2019), 797-820. Preprint version is here.

127. (with K. Kauer, S. Kamada and M. Prabhacker) An unknotting index for virtual knots, Tokyo Journal of Mathematics, 42 (2019), 357-370.

Preprint version is here.

126. (with S. Kamada, J. Kim, and S.Y.Lee) Biquandle cohomology and state sum invariants of links and surface-links,

Journal of Knot Theory and Its Ramifications, 27, No. 11 (2018), 1843016 (37 pages). DOI: 10.1142/S0218216518430162. Preprint version is here.

125. Faithful equivalence of equivalent ribbon surface-links, Journal of Knot Theory and Its Ramifications, 27, No. 11 (2018),1843003 (23 pages). DOI: 10.1142/S0218216518430034. Preprint version is here.

124. Complexities of a knitting pattern, Reactive and Functional Polymers, 131 (2018), 230-236. Preprint version is here.

123. (with S. Kamada, J. Kim, and S.Y.Lee) Presentation of immersed surface-links by marked graph diagrams, J. Knot Theory Ramifications 27 (2018), No. 10, 1850052 (10 pages). Preprint version is here (Revised July 14, 2017).

122. (with J. Kim) Immersed 2-knots with essential singularity, Topology and Applications, 264 (2019), 462-472. Preprint version is here.

http://dx.doi.org/10.1142/S0218216517500535. Preprint version is here (Revised April 25, 2017).

117. On a cross-section of an immersed sphere-link in 4-space, Topology and its Applications, 230C (2017), 194-217. https://doi.org/10.1016/j.topol.2017.08.035. Preprint version is here.

116. (with K. Kaur, S. Kamada and M. Prabhakar) Gauss diagrams, unknotting numbers and trivializing numbers of spatial graphs, Topology and its Applications, 230 (2017), pp 586-598. https://doi.org/10.1016/j.topol.2017.08.037. Preprint version is here.

"Mathematical Sciences" 11 (2014), 7-12. Preprint version is here.

103. On 4-dimensional universe for every 3-dimensional manifold, Proceedings of International Conference on Topology and Geometry 2013, joint with the 6th Japan-Mexico Topology Symposium, Topology and its Applications, 196 (2015), 575-593.

Memorial edition to Professor Hirokazu Okamori, 42 (2013), 141-146.

96. Mind-Knots and Mind-Relations: Knot Theory Applied to Psychology, Chapter 7 in: "Qualitative Mathematics for the Social Sciences, Mathematical Models for Research on Cultural Dynamics", pp.227-253,(edited by Lee Rudolph),Routledge's "Cultural Dynamics of Social Representation"series (Series Editor Jaan Valsiner)(August, 2012). Earlier preprint version is here.

95. (with K. Yoshida) Topology of prion proteins, Journal of Mathematics and System Science 2 (2012), 237-248. Preprint version is here.

94. (with A. Shimizu and K. Kishimoto)

93. (with T. Kadokami) Amphicheirality of links and Alexander invariants,

79. The (2,1)-cable of the figure eight knot is rationally slice (in a handwritten manuscript)(1980).

76. "Lectures on knot theory"(Monograph in Japanese), 2007, Kyoritsu Shuppan Co. Ltd; (November 26, 2010) Corrections to the 1st printing and to the 2nd printing.

75. (with I. Tayama) Enumerating 3-manifolds by a canonical order, Intelligence of low dimensional topology 2006, Series on knots and everything, vol 40(2007), 165-172, World Sci. publ..The preprint version is here.

74. On the surface-link groups, Intelligence of low dimensional topology 2006,Series on knots and everything, vol 40(2007), 157-164, World Sci. publ.. The preprint version is here.

73. A knot model in psychology, in: Knot Theory for Scientific Objects,OCAMI Studies Vol. 1(2007), 129-141.

72. "Knot theory for scientific objects"( A. Kawauchi ed.), OCAMI Studies Vol.1(2007), Osaka Municipal Univ. Press;Errata.

71. The first Alexander Z[Z]-modules of surface-links and of virtual links, Heiner Zieschang Gedenkschrift, Geometry & Topology Monographs 14(2008), 353-371.

70. Topological imitations and Reni-Meccia-Zimmermann's conjecture, Kyungpook Math. J., 46(2006),1-9.

69. (with I. Tayama) Enumerating prime links by a canonical order,Journal of Knot Theory and Its Ramifications, Vol. 15, No. 2 (2006), 217-237.

68. Characterizing the first Alexander Z[Z]-modules of surface-links and of virtual links, in: Proc. Second East Asian School of Knots, Links, and Related Topics in Geometric Topology(Darlian, Aug. 2005),111-121. The preprint version is here.

67. (with I. Tayama) Enumerating the exteriors of prime links by a canonical order, in: Proc. Second East Asian School of Knots, Links, and Related Topics in Geometric Topology (Darlian, Aug. 2005),269-277. The preprint version is here.

66. Topological imitation of a colored link with the same Dehn surgery manifold, Proc. of International Conf. Topology in Matsue 2002, Topology Appl. 146-147(2005), 67-82.

65. "From linear algebra to homology" (Monograph in Japanese), 2000, Baifukan Tokyo;(May 12, 2005) Misprint Corrections.

64. (with I. Tayama) Enumerating the prime knots and links by a canonical order, Proc. 1st East Asian School of Knots, Links, and Related Topics, 2004 (Seoul, Feb. 2004), (2004), 307-316. The preprint version is here.

63. A tabulation of 3-manifolds via Dehn surgery, Boletin de la Sociedad Matematica Mexicana (3) 10 (2004), 279--304. (The manuscript in preprint form is available here.)

62. Link corresponding to 3-manifold, in: Proc. of Professor Kazuaki Kobayashi and Professor Shin'ichi Suzuki's Joint 60th Birthday Symposium"The Present, Past and Future's Knot Theory" (2002), 130-154.

61. On pseudo-ribbon surface-links, J. Knot Theory Ramifications,11(2002)1043-1062．The preprint version is here.

60. On linking signature invariants of surface-knots, J. Knot Theory Ramifications 11(2002), 369-385. The preprint version is here.

59. An intrinsic Arf invariant of a link and its surface-link analogue, in: Proc. of the first topology meeting of Japan-Mexico 1999, Topology Appl. 121(2002), 255-274.

58. (with S. Kamada and T. Matumoto) Combinatorial moves on ambient isotopic submanifolds in a manifold, J. Math. Soc. Japan. 53(2001), 321-331.

57. Algebraic characterization of an exact 4-manifold with infinite cyclic first homology, Journal Atti Sem. Mat. Fis. Univ. Modena 48 (2000), 405-424.

56. Torsion linking forms on surface-knots and exact 4-manifolds, in: Knots in Hellas '98, Series on Knots and Everything 24(2000), 208-228, World Sci. Publ.

55. The quadratic form of a link, in: Proc. Low Dimension Topology,Contemp. Math. 233(1999),97-116.

54. On the fundamental class of an infinite cyclic covering, Kobe J. Math. 15(1998),103-114.

53. Floer homology of topological imitations of homology 3-spheres, J. Knot Theory Ramifications 7(1998),41-60.

52. Internet Lectures on knot theory (in Japanese, 1997).

51.The quadratic form of a link and a Seifert matrix, in: The 5th Korea-Japan School of Knots and Links, Proc. Applied Math.Workshop 8(1997), 119-129, KAIST, Korea.

50. Topological imitations, in: Lectures at Knots 96, World Scientific Publ.,(1997), 19-37.

49. A SURVEY OF KNOT THEORY(Birkhauser,1996);Table Correction.

48. Distance between links by zero-linking twists, Kobe J. Math.13(1996), 183-190.

47. Mutative hyperbolic homology 3-spheres with the same Floer homology, Geometriae Dedicata 61(1996), 205-217.

46. (with J. A. Hillman) Unknotting orientable surfaces in the 4-sphere, J. Knot Theory Ramifications 4(1995),213-224.

45. Topological imitation, mutation and the quantum SU(2) invariants, J. Knot Theory Ramifications 3(1994), 25-39.

44. A survey of topological imitations of (3,1)-dimensional manifold pairs, Proc. Applied Math. Workshop 4(1994), 43-52.

43. On coefficient polynomials of the skein polynomial of an oriented link, Kobe J. Math. 11(1994), 49-68.

42. Splitting a 4-manifold with infinite cyclic fundamental group,Osaka J. Math. 31(1994), 489-495.

41. Introduction to almost identical imitations of (3,1)-dimensional manifold pairs, in:Topics in Knot Theory, Proceedings of NATO-ASI Topics in Knot Theory(Eruzurum /Turkey), Kluwer Academic Publishers, (1993), 69-83.

40. Almost identical imitations of (3,1)-dimensional manifold pairs and the manifold mutation, J. Austral. Math. Soc. (Ser.A) 55(1993),100-115.

39. Almost identical imitations of (3,1)-dimensional manifold pairs and the branched coverings, Osaka J. Math. 29(1992), 299-327.

38. Knots 90, (A. Kawauchi ed.), Walter de Gruyter, Berlin-New York,1992.

37. Almost identical link imitations and the skein polynomial, in:Knots 90, pp.465-476, Walter de Gruyter, Berlin-New York,1992.

36. The first Alexander modules of surfaces in 4-sphere, in: Algebra and Topology, Proc. KAIST Math. Workshop 5, 81-89, 1990.

35. Almost identical imitations of (3,1)-dimensional manifold pairs, Osaka J. Math. 26(1989),743-758.

34. An imitation theory of manifolds, Osaka J. Math. 26(1989),447-464.

33. Imitations of (3,1)-dimensional manifold pairs, Sugaku 40(1988),193-204 ( in Japanese ); Sugaku Expositions (published from Amer. Math. Soc.) 2(1989), 141-156.

32. The imbedding problem of 3-manifolds into 4-manifolds, Osaka J. Math. 25(1988),171-183.

31. Knots in the stable 4-space; An overview, A Fete of Topology, Academic Press, 1988, 453-470 (Notice: Interchange the contents of pages 466 and 467 which are erroneously printed). The corrected preprint version is here.

30. On the integral homology of infinite cyclic coverings of links, Kobe J. Math. 4(1987),31-41.

29. Three dualities on the integral homology of infinite cyclic coverings of manifolds, Osaka J. Math. 23(1986),633-651.

28. On the signature invariants of infinite cyclic coverings of even dimensional manifolds, Homotopy Theory and Related Topics, Advanced Studies in Pure Math. 9(1986), 177-188.

27. On the signature invariants of infinite cyclic coverings of closed odd dimensional manifolds, Algebraic and Topological Theories-to the memory of Dr. T. Miyata, Kinokuniya Co. Ltd.,(1985),52-85.

26. Classification of pretzel knots, Kobe J. Math. 2(1985),11-22.

25. (with F. Hosokawa, Y. Nakanishi, and M. Sakuma) Note on critical points of surfaces in 4-space, Kobe J. Math. 1(1984),151-152.

24. (with T. Kobayashi and M. Sakuma) On 3-manifolds with no periodic maps, Japan. J. Math. 10(1984),185-193.

23. Rochlin invariant and α-invariant, Four-Manifold Theory, Contemp.Math. 35(1984),315-326.

22. On the Robertello invariants of proper links, Osaka J. Math. 21(1984),81-90.

21. (with T. Shibuya and S. Suzuki) Descriptions on surfaces in four-space, II: Singularities and cross-sectional links, Math. Sem. Notes, Kobe Univ. 11(1983),31-69.

20. (with H. Murakami and K. Sugishita) On the T-genus of knot cobordism, Proc. Japan Acad. 59(1983),91-93.

19. A test for the fundamental group of a 3-manifold, J. Pure Appli. Algebra, 28(1983),189-196.

18. On the Rochlin invariants of Z_2 -homology 3-spheres with cyclic actions, Japan. J. Math. 8(1982),217-258.

17. (with T. Shibuya and S. Suzuki) Descriptions on surfaces in four-space, I : Normal forms, Math. Sem. Notes, Kobe Univ. 10 (1982),75-125.

16. On 3-manifolds admitting orientation-reversing involutions, J. Math. Soc. Japan 33(1981),571-589.

15. (with S. Kojima) Algebraic classification of linking pairings on 3-manifolds, Math. Ann. 253(1980),29-42.

14. (with T. Matumoto) An estimate of the homology torsion modules of infinite cyclic coverings and knot theory, Pacific J. Math. 90(1980),99-103.

13. On links not cobordant to split links, Topology 19(1980),321-334.

12. On a 4-manifold homology equivalent to a bouquet of surfaces, Trans. Amer. Math. Soc. 262(1980),95-112.

11. Vanishing of the Rochlin invariants of some Z_2 -homology 3-spheres, Proc. Amer. Math. Soc. 79(1980),303-307.

10. The invertibility problem on amphicheiral excellent knots, Proc.Japan Acad. 55(1979),399-402.

9. (with R. Hartley) Polynomials of amphicheiral knots, Math. Ann.,243(1979),63-70.

8. On n-manifolds whose punctured manifolds are imbeddable in (n+1)-sphere and spherical manifolds, Hiroshima Math. J.9(1979),47-57.

7. (with F. Hosokawa) Proposals for unknotted surfaces in four-space. Osaka J. Math.16(1979),233-248.

6. On the Alexander polynomials of cobordant links, Osaka J. Math. 15(1978), 151-159.

5. On quadratic forms of 3-manifolds, Invent. Math. 43(1977),177-198.

4. H~-cobordism , I, Osaka J. Math. 13(1976),567-590.

3. Three dimensional homology handles and circles, Osaka J. Math. 12(1975),565-581.

2. A partial Poincare duality theorem for infinite cyclic coverings,Quart. J. Math. 26(1975),437-458.

1. A classification of compact 3-manifolds with infinite cyclic fundamental groups,Proc. Japan Acad. 50(1974),175-178.

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