 |
 KAWAUCHI, Akio's Papers, Preprints and Miscellaneous things on Researches of Knot Theory and 3, 4-Dimensional Manifolds January 18, 2012 |
96.(revised December 19, 2011)(with A. Shimizu) Quantization of the crossing number of a knot diagram
95.The Alexander polynomials of immersed concordant links.
94.(revised September 13, 2011)(with K. Yoshida) Topology of prion proteins.
93.(with A. Shimizu and K. Kishimoto) A game using knot theory, Japanese Patent Application 2011-95520 (2011).
92.(with T. Kadokami) Amphicheirality of links and Alexander invariants,
SCIENCE CHINA Mathematics 54 (2011), 2213-2227. Preprint version is here
91.On transforming a spatial graph into a plane graph,
in: Statistical Physics and Topology of Polymers with Ramifications to Structure and Function
of DNA and Proteins, Progress of Theoretical Physics Supplement, No. 191(2011), 235-244.
Preprint version is here.
90. (with I. Tayama) Enumerating homology spheres with lengths up to 10 by a canonical order,
Proceedings of Intelligence of Low-Dimensional Topology 2009
in honor of Professor Kunio Murasugi's 80th birthday,
(2009), 83-92. Preprint version is here.
89. What is Knot Theory ? Why Is It In Mathematics ?,
in: Teaching and Learning of Knot Theory in School Mathematics(ed by A. Kawauchi and T. Yanagimoto),
OCAMI Studies Vol. 4(2011), 1-15.
88. Applying knot theory to sciences -
mainly on knot models of a prion protein and a psychological mind
(in Japanese), a civic lecture record, Sugaku Tushin, 14-4(February, 2010), 26-45.
87.On the Alexander polynomials of knots with Gordian distance one,
Topology and its Applications 159(2012), 948-958.
Preprint version is here.
86. Basics on topology (in Japanese), in: Topology Designing-
Material / Materials Design Beginning With New Geometry, NTS, Inc.
(2009), 127-140.
85.Topology of spatial graphs,
Proceedings of Yamada Conference 2008 "Topological Molecules".
84. Defining the absolute value of the linking number of a link without
concept of a negative number (in Japanese), in: Introduction to Mathematical
Education on Knots- for primary schoolchildren, junior high students, and
the high school students, No. 3(ed. A. Kawauchi and T. Yanagimoto) (2009),13-21.
83.(I. Tayama) Enumerating prime link exteriors with lengths up to 10 by a canonical order,
Proceedings of the joint conference of Intelligence of Low Dimensional Topology 2008
and the Extended KOOK Seminar,
(2008), 135-143.
82. On a complexity of a spatial graph. in: Knots and soft-matter physics,
Topology of polymers and related topics in physics, mathematics and biology,
Bussei Kenkyu 92-1 (2009-4), 16-19. Revised Preprint Version is here.
81. Rational-slice knots via strongly negative-amphicheiral knots,
Communications in Mathematical Research 25(2009),177-192. Preprint version: here
80. The (2,1)-cable of the figure eight knot is rationally slice
(in a handwritten manuscript)(1980).
79.(with I. Tayama) Enumerating 3-manifolds with lengths up to 9 by a canonical order,
Topology Appl. 157(2010), 261-268 (Preprint version is here).
78.A model for mind relations - An application of knot theory to psychology.
77.On alternation numbers of links,Topology Appl. 157(2010),274-279.
(Preprint version is here)
76. (November 26, 2010) Corrections to the 1st printing and to the 2nd printing of
"Lectures on knot theory"(in Japanese), (first edition, 2007) Kyoritsu Shuppan Co. Ltd.
75. Errata on "Knot theory for scientific objects"(ed. by A. Kawauchi),
OCAMI Studies Vol.1(2007), Osaka Municipal Univ. Press.
74. Characteristic genera of closed orientable 3-manifolds
(revised December 27, 2006).
73.(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..
72. On the surface-link groups, Intelligence of low dimensional topology 2006,
Series on knots and everything, vol 40(2007), 157-164, World Sci. publ..
71. A knot model in psychology, in: Knot Theory for Scientific Objects,
OCAMI Studies Vol. 1(2007), 129-141.
70. The first Alexander Z[Z]-modules of surface-links and of virtual links,
Heiner Zieschang Gedenkschrift, Geometry & Topology Monographs 14(2008), 353-371.
69. Topological imitations and Reni-Meccia-Zimmermann's conjecture,
Kyungpook Math. J., 46(2006),1-9.
68.(with I. Tayama) Enumerating prime links by a canonical order,
Journal of Knot Theory and Its Ramifications, Vol. 15, No. 2 (2006), 217-237.
67. (Version up: June 10, 2009) A Table Correction of :
A SURVEY OF KNOT THEORY(Birkhauser,1996)
66. 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.
65. (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.
64. 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.
63. (May 12, 2005) Misprint Corrections on "From linear algebra to homology"
(in Japanese), (first edition, 2000), Baifukan Tokyo.
62.(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.
61. A tabulation of 3-manifolds via Dehn surgery, Boletin de la Sociedad
Matematica Mexicana (3) 10 (2004), 279--304. (The preprint form is available here.)
60. 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.
59. On pseudo-ribbon surface-links, J. Knot Theory Ramifications,
11(2002)1043-1062．
58. On linking signature invariants of surface-knots, J. Knot Theory
Ramifications 11(2002), 369-385.
57.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.
56.(with S. Kamada and T. Matumoto) Combinatorial moves on ambient
isotopic submanifolds in a manifold, J. Math. Soc. Japan. 53(2001),
321-331.
55.Algebraic characterization of an exact 4-manifold with infinite
cyclic first homology, Journal Atti Sem. Mat. Fis. Univ. Modena
48 (2000), 405-424.
54.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.
53.The quadratic form of a link, in: Proc. Low Dimension Topology,
Contemp. Math. 233(1999),97-116.
52. On the fundamental class of an infinite cyclic covering, Kobe J.
Math. 15(1998),103-114.
51. Floer homology of topological imitations of homology 3-spheres,
J. Knot Theory Ramifications 7(1998),41-60.
50. Internet Lectures on knot theory (in Japanese, 1997).
49.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.
48. Topological imitations, in: Lectures at Knots 96,
World Scientific Publ.,(1997), 19-37.
47. Distance between links by zero-linking twists, Kobe J. Math.
13(1996), 183-190.
46. Mutative hyperbolic homology 3-spheres with the same Floer
homology, Geometriae Dedicata 61(1996), 205-217.
45. (with J. A. Hillman) Unknotting orientable surfaces in the
4-sphere, J. Knot Theory Ramifications 4(1995),213-224.
44. Topological imitation, mutation and the quantum SU(2) invariants,
J. Knot Theory Ramifications 3(1994), 25-39.
43. A survey of topological imitations of (3,1)-dimensional manifold
pairs, Proc. Applied Math. Workshop 4(1994), 43-52.
42. On coefficient polynomials of the skein polynomial of an oriented link,
Kobe J. Math. 11(1994), 49-68.
41. Splitting a 4-manifold with infinite cyclic fundamental group,
Osaka J. Math. 31(1994), 489-495.
40. 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.
39. Almost identical imitations of (3,1)-dimensional manifold pairs
and the manifold mutation, J. Austral. Math. Soc. (Ser.A) 55(1993),100-115.
38. Almost identical imitations of (3,1)-dimensional manifold pairs
and the branched coverings, Osaka J. Math. 29(1992), 299-327.
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. $\tilde H$-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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Any comment is welcome. Send it to kawauchi@sci.osaka-cu.ac.jp. |