Papers (Seiichi Kamada)

October 2010, updated
  • Atsushi Ishii, Naoko Kamada and Seiichi Kamada, The Miyazawa polynomial for long virtual knots, Topology Appl. 157 (2010), 290--297.
  • Seiichi Kamada, Quandles derived from dynamical systems and subsets which are closed under quandle operations, Topology Appl. 157 (2010), 298--301.
  • Seiichi Kamada and Kanako Oshiro, Homology groups of symmetric quandles and cocycle invariants of links and surface-links, Trans. Amer. Math. Soc. 362 (2010), 5501--5527.
  • Atsushi Ishii, Naoko Kamada and Seiichi Kamada, The virtual magnetic Kauffman bracket skein module and skein relations for the f-polynomial, J. Knot Theory Ramifications 17 (2008), 675--688.
  • Seiichi Kamada, Graphic descriptions of monodromy representations, Topology Appl. 154 (2007), 1430--1446.
  • Seiichi Kamada, Quandles with good involutions, their homologies and knot invariants, In: Intelligence of Low Dimensional Topology 2006, Eds. J. S. Carter et. al., pp. 101-- 108, World Scientific Publishing Co., 2007.
  • Seiichi Kamada, , Braid presentation of virtual knots and welded knots, Osaka J. Math. 44 (2007), 441--458.
  • Seiichi Kamada, Shin Satoh, Manabu Takabayashi, The braid index is not additive for the connected sum of 2-knots, Trans. Amer. Math. Soc. 358 (2006), 5425--5439.
  • Seiichi Kamada and Yukio Matsumoto, Word representation of cords on a punctured plane, Topology Appl. 146--147 (2005), 21--50.
  • Seiichi Kamada and Yukio Matsumoto, Enveloping monoidal quandles, Topology Appl. 146--147 (2005), 133--148.
  • Seiichi Kamada, Yukio Matsumoto, Takao Matumoto, Keita Waki, Chart description and a new proof of the classification theorem of genus one Lefschetz fibrations, J. Math. Soc. Japan 57 (2005) no. 2, 537--555.
  • Seiichi Kamada, On genus-two Lefschetz fibrations and their fiber-sum stabilizations,  The Proceedings of the "Second East Asian School of Knots and Related Topics in Geometric Topology'', (Dalian, China, 2005), 2005, 73--80
  • Seiichi Kamada, Two-dimensional braids and four-dimensional theory of knots (Japanese),  Sugaku  57  (2005); no. 4, 383--399.
  • Seiichi Kamada, Invariants of virtual braids and a remark on Left stabilizations and virtual exchange moves, Kobe J. Math. 21 (2004), 33--49.
  • J. Scott Carter, Daniel Jelsovsky, Seiichi Kamada, Laurel Langford and Masahico Saito, Quandle cohomology and state-sum invariants of knotted curves and surface, Trans. Amer. Math. Soc. 355 (2003), 3947--3989. (math.GT/9903135)
  • J. Scott Carter, Seiichi Kamada and Masahico Saito, Diagrammatic computations for quandles and cocycle knot invariants, Contemp. Math. 318 (2003), 51--74.
  • J. Scott Carter, Seiichi Kamada, Masahico Saito and Shin Satoh, Bordism of unoriented surfaces in 4-space, Michigan Math. J. 50 (2002), 575--591.
  • Seiichi Kamada, Knot invariants derived from quandles and racks, in "Invariants of knots and 3-manifolds", Geometry and Topology Monographs 4 (2002), 103--117.
  • J. Scott Carter, Seiichi Kamada and Masahico Saito, Stable equivalence of knots on surfaces and virtual knot cobordisms, J. Knot Theory Ramifications 11 (2002) 311--322.
  • Seiichi Kamada, On 1-handle surgery and finite type invariants of surface knots, Topology Appl. 121 (2002) 219--230.
  • Kazuo Habiro, Seiichi Kamada, Yukio Matsumoto and Katsuyuki Yoshikawa, Algebraic formulae for the q-inverse in a free group, J. Math. Sci. Univ. Tokyo 8 (2001) 721--734.
  • Seiichi Kamada, Wirtinger presentations for higher dimensional manifold knots obtained from diagrams, Fund. Math. 168 (2001) 105--112.
  • J. Scott Carter, Daniel Jelsovsky, Seiichi Kamada and Masahico Saito, Shifting homomorphisms in quandle cohomology and skeins of cocycle knot invariants, J. Knot Theory Ramifications 10 (2001) 579--596.
  • J. Scott Carter, Seiichi Kamada and Masahico Saito, Geometric interpretations of quandle homology, J. Knot Theory Ramifications 10 (2001) 345--386.
  • Seiichi Kamada, A. Kawauchi and T. Matumoto, Combinatorial moves on ambient isotopic submanifolds in a manifold, J. Math. Soc. Japan 53 (2001) 321--331.
  • J. Scott Carter, Seiichi Kamada, Masahico Saito and Shin Satoh, A theorem of Sanderson on link bordisms in dimension 4, Algebraic and Geometric Topology, 1 (2001) 299--310.
  • J. Scott Carter, Daniel Jelsovsky, Seiichi Kamada and Masahico Saito, Quandle homology groups, their Betti numbers, and virtual knots, J. Pure Appl. Algebra 157 (2001) 135--155.
  • J. Scott Carter, Daniel Jelsovsky, Seiichi Kamada and Masahico Saito, Computations of quandle cocycle invariants of knotted curves and surfaces, Adv. in Math. 157 (2001) 36--94.
  • Seiichi Kamada and Yukio Matsumoto, Certain racks associated with the braid groups, in "Knots in Hellas '98'' (Greece, 1998), Ser. Knots Everything 24, World Sci. Publishing, 2000, 118--130.
  • Naoko Kamada and Seiichi Kamada, Abstract link diagrams and virtual knots, J. Knot Theory Ramifications 9 (2000) 93--106.
  • J. Scott Carter, Seiichi Kamada and Masahico Saito, Alexander numbering of knotted surface diagrams, Proc. Amer. Math. Soc. 128 (2000) 3761--3771.
  • J. Scott Carter, Daniel Jelsovsky, Seiichi Kamada, L. Langford and M. Saito, State-sum invariants of knotted curves and surfaces from quandle cohomology, Electron. Res. Announc. Amer. Math. Soc. 5 (1999)146--156.
  • Seiichi Kamada, Arrangement of Markov moves for 2-dimensional braids, in "Low Dimensional Topology" (Madeira, Portugal, 1998), Contemp. Math., 233, Amer. Math. Soc., 1999, 197--213.
  • Seiichi Kamada, Vanishing of a certain kind of Vassiliev invariants of 2-knots, Proc. Amer. Math. Soc., 127 (1999), 3421--3426.
  • Seiichi Kamada, Unknotting immersed surface-links and singular 2-dimensional braids by 1-handle surgeries, Osaka J. Math., 36 (1999), 33--49.
  • Seiichi Kamada, Standard forms of 3-braid 2-knots and their Alexander polynomials, Michigan Math. J., 45 (1998), 189--205.
  • Seiichi Kamada, Quantum inverse and braid monodromies, Proceedings of the Workshop "Topology of Riemann Surfaces", Hokkaido University Technical Report Series in Mathematics, vol. 51, September 1997, 45--51 (in Japanese).
  • Seiichi Kamada, Unknotting operations for 1- and 2-dimensional links, Proc. Applied Math. Workshop, 8, KAIST (Taejon 1997), 1997, 103--117.
  • Seiichi Kamada, Surfaces in 4-space: A view of normal forms and braidings, "Lectures at Knots 96", ed. S. Suzuki (Tokyo 1996), World Scientific Publishing Co., 1997, 39--71.
  • Seiichi Kamada, Crossing changes for singular 2-dimensional braids without branch points, Kobe J. Math. 13 (1996), 177--182.
  • Seiichi Kamada, An observation of surface braids via chart description, J. Knot Theory Ramifications 5(1996), 517--529.
  • Seiichi Kamada, On braid monodromies of non-simple braided surfaces, Math. Proc. Cambridge Philos. Soc. 120(1996), 237--245.
  • Seiichi Kamada, Survey on 2-dimensional braids, Proceedings of the 41st Topology Symposium (Ehime/Japan 1994), 1994 , 162--178.
  • Seiichi Kamada, Alexander's and Markov's theorems in dimension four, Bull. Amer. Math. Soc. 31 (1994), 64--67.
  • Seiichi Kamada, A characterization of groups of closed orientable surfaces in 4-space, Topology 33 (1994), 113--122.
  • Seiichi Kamada, On 2-dimensional braids and 2-links, "The 3rd Korea-Japan school of knots and links", Proc. Applied Math. Workshop, 4, KAIST(Taejon, 1994), 33--39.
  • Seiichi Kamada, 2-dimensional braids and chart descriptions, "Topics in Knot Theory", NATO ASI Series C, 399 (Erzurum/Turkey 1992), Kluwer Academic Publisher, 1994, 277--287.
  • Seiichi Kamada, Seifert circles for surface braids, Surikaiseki-Kenkyujo-Kokyuroku (Seminar note at RIMS, Kyoto), vol. 813, 1992, 144--154 (in Japanese).
  • Seiichi Kamada, Surfaces in R4 of braid index three are ribbon, J. Knot Theory Ramifications 1 (1992), 137--160.
  • Seiichi Kamada, Projective planes in 4-sphere obtained by deform-spinnings, "Knots 90", ed. A. Kawauchi (Osaka 1990), Walter de Gruyter, 1992, 125--132.
  • Seiichi Kamada, On deform-spun projective planes in 4-sphere obtained from peripheral inverting deformations, Proceedings of KAIST Math. Workshop, 5 (1990), 197--203.
  • Seiichi Kamada, On doubled surfaces of nonorientable surfaces in the 4-sphere, Kobe J. Math. 7 (1990), 19--24.
  • Seiichi Kamada, Orientable surfaces in the 4-sphere associated with non-orientable knotted surfaces, Math. Proc. Cambridge Philos. Soc. 108 (1990), 299--306.
  • Seiichi Kamada, Non-orientable surfaces in 4-space, Osaka J. Math. 26 (1989), 367--385.