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Twisted intersection colorings, invariants and double coverings of twisted links
Hiroki Ito, Seiichi Kamada
International Journal of Mathematics Vol. 34 No. 06 2023年4月11日 研究論文（学術雑誌）
出版者・発行元：
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Doodles and commutator identities
Andrew Bartholomew, Roger Fenn, Naoko Kamada, Seiichi Kamada
Journal of Knot Theory and Its Ramifications Vol. 31 No. 08 p. 2240001-(21 pages) 2022年7月 研究論文（学術雑誌）
出版者・発行元：World Scientific Pub Co Pte Ltd
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Knotted surfaces as vanishing sets of polynomials
Benjamin BODE, Seiichi KAMADA
Journal of the Mathematical Society of Japan Vol. 73 No. 4 p. 1289-1322 2021年10月22日 研究論文（学術雑誌）
出版者・発行元：Mathematical Society of Japan (Project Euclid)
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Tensor products of quandles and 1-handles attached to surface-links
Seiichi Kamada
Vol. 301 No. 1 p. 107520-(18 pages) 2021年9月 研究論文（学術雑誌）
出版者・発行元：
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Cocycles of G-Alexander biquandles and G-Alexander multiple conjugation biquandles
Atsushi Ishii, Masahide Iwakiri, Seiichi Kamada, Jieon Kim, Shosaku Matsuzaki, Kanako Oshiro
Topology and its Applications Vol. 301 p. 107512-107512 2021年9月 研究論文（学術雑誌）
出版者・発行元：Elsevier BV
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Virtual links which are equivalent as twisted links
Naoko Kamada, Seiichi Kamada
Proceedings of the American Mathematical Society Vol. 148 No. 5 p. 2273-2285 2020年1月 研究論文（学術雑誌）
出版者・発行元：American Mathematical Society (AMS)
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An Unknotting Index for Virtual Knots
Seiichi KAMADA, Kirandeep KAUR, Akio KAWAUCHI, Prabhakar MADETI
Tokyo Journal of Mathematics Vol. 42 No. 2 p. 357-370 2019年12月 研究論文（学術雑誌）
出版者・発行元：Tokyo Journal of Mathematics
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On the group of ring motions of an H-trivial link
Celeste Damiani, Seiichi Kamada
Topology and its Applications Vol. 264 p. 51-65 2019年9月 研究論文（学術雑誌）
出版者・発行元：Elsevier BV
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Colorings and doubled colorings of virtual doodles
Bartholomew, Andrew, Fenn, Roger, Kamada, Naoko, Kamada, Seiichi
Topology and its Applications Vol. 264 p. 290-299 2019年
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Doodles on surfaces
Andrew Bartholomew, Roger Fenn, Naoko Kamada, Seiichi Kamada
Journal of Knot Theory and Its Ramifications Vol. 27 No. 12 p. 1850071-(26 pages) 2018年
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On Gauss codes of virtual doodles
Andrew Bartholomew, Roger Fenn, Naoko Kamada, Seiichi Kamada
Journal of Knot Theory and Its Ramifications Vol. 27 No. 11 p. 1843013-(26 pages) 2018年
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Biquandle (co)homology and handlebody-links
Atsushi Ishii, Masahide Iwakiri, Seiichi Kamada, Jieon Kim, Shosaku Matsuzaki, Kanako Oshiro
Journal of Knot Theory and Its Ramifications Vol. 27 No. 11 p. 1843011-(33 pages) 2018年 研究論文（学術雑誌）
出版者・発行元：
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Biquandle cohomology and state-sum invariants of links and surface-links
Seiichi Kamada, Akio Kawauchi, Jieon Kim, Sang Youl Lee
Journal of Knot Theory and Its Ramifications Vol. 27 No. 11 p. 1843016-(37 pages) 2018年
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Presentation of immersed surface-links by marked graph diagrams
Seiichi Kamada, Akio Kawauchi, Jieon Kim, Sang Youl Lee
Journal of Knot Theory and Its Ramifications Vol. 27 No. 10 p. 1850052-(10 pages) 2018年
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A multiple conjugation biquandle and handlebody-links
Atsushi Ishii, Masahide Iwakiri, Seiichi Kamada, Jieon Kim, Shosaku Matsuzaki, Kanako Oshiro
Hiroshima Mathematical Journal Vol. 48 No. 1 p. 89-117 2018年
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Polynomial of an oriented surface-link diagram via quantum A(2) invariant
Yewon Joung, Seiichi Kamada, Akio Kawauchi, Sang Youl Lee
TOPOLOGY AND ITS APPLICATIONS Vol. 231 p. 159-185 2017年11月 研究論文（学術雑誌）
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Gauss diagrams, unknotting numbers and trivializing numbers of spatial graphs
K. Kaur, S. Kamada, A. Kawauchi, M. Prabhakar
TOPOLOGY AND ITS APPLICATIONS Vol. 230 p. 586-598 2017年10月 研究論文（学術雑誌）
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Ribbon-clasp surface-links and normal forms of immersed surface-links
Seiichi Kamada, Kengo Kawamura
TOPOLOGY AND ITS APPLICATIONS Vol. 230 p. 181-193 2017年10月 研究論文（学術雑誌）
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Chart descriptions of regular braided surfaces
Seiichi Kamada, Takao Matumoto
TOPOLOGY AND ITS APPLICATIONS Vol. 230 p. 218-232 2017年10月 研究論文（学術雑誌）
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Counting Dirac braid relator and hyperelliptic Lefschetz fibrations
Hisaaki Endo, Seiichi Kamada
Transactions of London Mathematical Society Vol. 4 No. 1 p. 72-99 2017年
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Double coverings of twisted links
Naoko Kamada, Seiichi Kamada
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS Vol. 25 No. 9 p. 1641011-(22 pages) 2016年8月 研究論文（学術雑誌）
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On Classification of Quandles of Cyclic Type
Seiichi Kamada, Hiroshi Tamaru, Koshiro Wada
TOKYO JOURNAL OF MATHEMATICS Vol. 39 No. 1 p. 157-171 2016年6月 研究論文（学術雑誌）
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Surface-knots
Seiichi Kamada
KNOT THEORY AND ITS APPLICATIONS Vol. 670 p. 93-103 2016年 研究論文（国際会議プロシーディングス）
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Three-dimensional braids and their descriptions
J. Scott Carter, Seiichi Kamada
TOPOLOGY AND ITS APPLICATIONS Vol. 196 p. 510-521 2015年12月 研究論文（学術雑誌）
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Chart description for hyperelliptic Lefschetz fibrations and their stabilization
Hisaaki Endo, Seiichi Kamada
TOPOLOGY AND ITS APPLICATIONS Vol. 196 p. 416-430 2015年12月 研究論文（学術雑誌）
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Computations of quandle cocycle invariants of surface-links using marked graph diagrams
Seiichi Kamada, Jieon Kim, Sang Youl Lee
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS Vol. 24 No. 10 p. 1540010-(35 pages) 2015年9月 研究論文（学術雑誌）
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Applying Lipson's state models to marked graph diagrams of surface-links
Yewon Joung, Seiichi Kamada, Sang Youl Lee
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS Vol. 24 No. 10 p. 1540003-(18 pages) 2015年9月 研究論文（学術雑誌）
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The shadow nature of positive and twisted quandle invariants of knots
Seiichi Kamada, Victoria Lebed, Kokoro Tanaka
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS Vol. 24 No. 10 p. 1540001-(15 pages) 2015年9月 研究論文（学術雑誌）
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Classification of broken Lefschetz fibrations with small fiber genera
R. Inanc Baykur, Seiichi Kamada
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN Vol. 67 No. 3 p. 877-901 2015年7月 研究論文（学術雑誌）
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Charts, signatures, and stabilizations of Lefschetz fibrations
Hisaaki Endo, Isao Hasegawa, Seiichi Kamada, Kokoro Tanaka
Geometry and Topology Monographes Vol. 19 p. 237-267 2015年
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How to fold a manifold
J. Scott Carter, Seiichi Kamada
In ``New Ideas in Low Dimensional Topology" Vol. 56 p. 31-77 2015年
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Quandles and symmetric quandles for higher dimensional knots
Seiichi Kamada
Banach Center Publications Vol. 103 p. 145-158 2014年
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Cords and 1-handles attached to surface-knots
Seiichi Kamada
Boletin de la Sociedad Matematica Mexicana Vol. 20 No. 2 p. 595-609 2014年
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BIQUANDLES WITH STRUCTURES RELATED TO VIRTUAL LINKS AND TWISTED LINKS
Naoko Kamada, Seiichi Kamada
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS Vol. 21 No. 13 p. 1240006-(14 pages) 2012年11月 研究論文（学術雑誌）
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Chart description for genus-two Lefschetz fibrations and a theorem on their stabilization
Seiichi Kamada
TOPOLOGY AND ITS APPLICATIONS Vol. 159 No. 4 p. 1041-1051 2012年3月 研究論文（学術雑誌）
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BRIDGE PRESENTATIONS OF VIRTUAL KNOTS
Mikami Hirasawa, Naoko Kamada, Seiichi Kamada
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS Vol. 20 No. 6 p. 881-893 2011年6月 研究論文（学術雑誌）
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HOMOLOGY GROUPS OF SYMMETRIC QUANDLES AND COCYCLE INVARIANTS OF LINKS AND SURFACE-LINKS
Seiichi Kamada, Kanako Oshiro
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY Vol. 362 No. 10 p. 5501-5527 2010年10月 研究論文（学術雑誌）
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New invariants of long virtual knots
Andrew Bartholomew, Roger Fenn, Naoko Kamada, Seiichi Kamada
Kobe Journal of Mathematics Vol. 27 No. 1 p. 21-33 2010年
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Quandles derived from dynamical systems and subsets which are closed under quandle operations
Seiichi Kamada
TOPOLOGY AND ITS APPLICATIONS Vol. 157 No. 1 p. 298-301 2010年1月 研究論文（学術雑誌）
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The Miyazawa polynomial for long virtual knots
Atsushi Ishii, Naoko Kamada, Seiichi Kamada
TOPOLOGY AND ITS APPLICATIONS Vol. 157 No. 1 p. 290-297 2010年1月 研究論文（学術雑誌）
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The virtual magnetic Kauffman bracket skein module and skein relations for the f-polynomial
Atsushi Ishii, Naoko Kamada, Seiichi Kamada
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS Vol. 17 No. 6 p. 675-688 2008年6月 研究論文（学術雑誌）
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Braid presentation of virtual knots and welded knots
Seiichi Kamada
OSAKA JOURNAL OF MATHEMATICS Vol. 44 No. 2 p. 441-458 2007年6月 研究論文（学術雑誌）
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Graphic descriptions of monodromy representations
Seiichi Kamada
TOPOLOGY AND ITS APPLICATIONS Vol. 154 No. 7 p. 1430-1446 2007年4月 研究論文（学術雑誌）
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Quandles with good involutions, their homologies and knot invariants
Seiichi Kamada
In: Intelligence of Low Dimensional Topology 2006 p. 101-108 2007年
出版者・発行元：World Sci. Publ.
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The Braid index is not additive for the connected sum of 2-knots
Seiichi Kamada, Shin Satoh, Manabu Takabayashi
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY Vol. 358 No. 12 p. 5425-5439 2006年 研究論文（学術雑誌）
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Chart description and a new proof of the classification theorem of genus one Lefschetz fibrations
S Kamada, Y Matsumoto, T Matumoto, K Waki
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN Vol. 57 No. 2 p. 537-555 2005年4月 研究論文（学術雑誌）
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On genus-two Lefschetz fibrations and their fiber-sum stabilizations
Seiichi Kamada
The Proceedings of the ``Second East Asian School of Knots and Related Topics in Geometric Topology'' p. 73-80 2005年
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Enveloping monoidal quandles
S Kamada, Y Matsumoto
TOPOLOGY AND ITS APPLICATIONS Vol. 146 p. 133-148 2005年1月 研究論文（学術雑誌）
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Word representation of cords on a punctured plane
S Kamada, Y Matsumoto
TOPOLOGY AND ITS APPLICATIONS Vol. 146 p. 21-50 2005年1月 研究論文（学術雑誌）
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Invariants of virtual braids and a remark on left stabilizations and virtual exchange moves
Kamada Seiichi
Kobe Journal of Mathematics Vol. 21 No. 1 p. 33-49 2004年
出版者・発行元：神戸大学
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Diagrammatic computations for quandles and cocycle knot invariants
JS Carter, S Kamada, M Saito
DIAGRAMMATIC MORPHISMS AND APPLICATIONS Vol. 318 p. 51-74 2003年 研究論文（国際会議プロシーディングス）
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Quandle cohomology and state-sum invariants of knotted curves and surfaces
JS Carter, D Jelsovsky, S Kamada, L Langford, M Saito
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY Vol. 355 No. 10 p. 3947-3989 2003年 研究論文（学術雑誌）
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On 1-handle surgery and finite type invariants of surface knots
S Kamada
TOPOLOGY AND ITS APPLICATIONS Vol. 121 No. 1-2 p. 219-230 2002年6月 研究論文（学術雑誌）
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Stable equivalence of knots on surfaces and virtual knot cobordisms
JS Carter, S Kamada, M Saito
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS Vol. 11 No. 3 p. 311-322 2002年5月 研究論文（学術雑誌）
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Knot invariants derived from quandles and racks
Seiichi Kamada
Geometry and Topology Monographes Vol. 4 p. 103-117 2002年
-
Bordism of unoriented surfaces in 4-space
JS Carter, S Kamada, M Saito, S Satoh
MICHIGAN MATHEMATICAL JOURNAL Vol. 50 No. 3 p. 575-591 2002年 研究論文（学術雑誌）
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Shifting homomorphisms in quandle cohomology and skeins of cocycle knot invariants
JS Carter, D Jelsovsky, S Kamada, M Saito
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS Vol. 10 No. 4 p. 579-596 2001年6月 研究論文（学術雑誌）
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Geometric interpretations of quandle homology
JS Carter, S Kamada, M Saito
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS Vol. 10 No. 3 p. 345-386 2001年5月 研究論文（学術雑誌）
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Combinatorial moves on ambient isotopic submanifolds in a manifold
S Kamada, A Kawauchi, T Matumoto
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN Vol. 53 No. 2 p. 321-331 2001年4月 研究論文（学術雑誌）
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Quandle homology groups, their Betti numbers, and virtual knots
JS Carter, D Jelsovsky, S Kamada, M Saito
JOURNAL OF PURE AND APPLIED ALGEBRA Vol. 157 No. 2-3 p. 135-155 2001年3月 研究論文（学術雑誌）
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Algebraic formulae for the $q$-inverse in a free group
Kazuo Habiro, Seiichi Kamada, Yukio Matsumoto, Katsuyuki Yoshikawa
Journal of Mathematical Sciences, the University of Tokyo Vol. 8 No. 4 p. 721-734 2001年
出版者・発行元：東京大学
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Wirtinger presentations for higher dimensional manifold knots obtained from diagrams
S Kamada
FUNDAMENTA MATHEMATICAE Vol. 168 No. 2 p. 105-112 2001年 研究論文（学術雑誌）
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A theorem of Sanderson on link bordisms in dimension 4
J. Scott Carter, Seiichi Kamada, Masahico Saito, Shin Satoh
Algebraic and Geometric Topology Vol. 1 p. 299-310 2001年
-
Computations of quandle cocycle invariants of knotted curves and surfaces
JS Carter, D Jelsovsky, S Kamada, M Saito
ADVANCES IN MATHEMATICS Vol. 157 No. 1 p. 36-94 2001年1月 研究論文（学術雑誌）
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Abstract link diagrams and virtual knots
N Kamada, S Kamada
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS Vol. 9 No. 1 p. 93-106 2000年2月 研究論文（学術雑誌）
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Certain racks associated with the braid groups
Seiichi Kamada, Yukio Matsumoto
in ``Knots in Hellas, 98'' (Greece, 1998) p. 118-130 2000年
出版者・発行元：World Sci. Publ.
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Alexander numbering of knotted surface diagrams
JS Carter, S Kamada, M Saito
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY Vol. 128 No. 12 p. 3761-3771 2000年 研究論文（学術雑誌）
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Vanishing of a certain kind of Vassiliev invariants of 2-knots
S Kamada
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY Vol. 127 No. 11 p. 3421-3426 1999年11月 研究論文（学術雑誌）
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Unknotting immersed surface-links and singular 2-dimensional braids by 1-handle surgeries
S Kamada
OSAKA JOURNAL OF MATHEMATICS Vol. 36 No. 1 p. 33-49 1999年3月 研究論文（学術雑誌）
-
Arrangement of Markov moves for 2-dimensional braids
Seiichi Kamada
Contemporary Mathematics Vol. 233 p. 197-213 1999年
-
State-sum invariants of knotted curves and surfaces from quandle cohomology
JS Carter, D Jelsovsky, S Kamada, L Langford, M Saito
ELECTRONIC RESEARCH ANNOUNCEMENTS OF THE AMERICAN MATHEMATICAL SOCIETY Vol. 5 p. 146-156 1999年 研究論文（学術雑誌）
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Standard forms of 3-braid 2-knots and their Alexander polynomials
S Kamada
MICHIGAN MATHEMATICAL JOURNAL Vol. 45 No. 1 p. 189-205 1998年 研究論文（学術雑誌）
-
Quantum inverse and braid monodromies
Seiichi Kamada
Hokkaido University Technical Report Series in Mathematics Vol. 51 p. 45-51 1997年
-
Unknotting operations for 1- and 2-dimensional links
Seiichi Kamada
Proc. Applied Math. Workshop, KAIST Vol. 8 p. 103-117 1997年
-
Surfaces in 4-space: A view of normal forms and braidings
Seiichi Kamada
in ``Lectures at Knots 96'' (ed. S. Suzuki) p. 39-71 1997年
出版者・発行元：World Scientific Publishing
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An observation of surface braids via chart description
S Kamada
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS Vol. 5 No. 4 p. 517-529 1996年8月 研究論文（学術雑誌）
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On braid monodromies of non-simple braided surfaces
S Kamada
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY Vol. 120 No. 2 p. 237-245 1996年8月 研究論文（学術雑誌）
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Crossing changes for singular 2-dimensional braids without branch points
Seiichi Kamada
Kobe Journal of Mathematics Vol. 13 No. 2 p. 177-182 1996年
出版者・発行元：神戸大学
-
ALEXANDER AND MARKOV THEOREMS IN DIMENSION-4
S KAMADA
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY Vol. 31 No. 1 p. 64-67 1994年7月
-
On 2-dimensional braids and 2-links
Seiichi Kamada
Proc. Applied Math. Workshop, KAIST Vol. 4 p. 33-39 1994年
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A CHARACTERIZATION OF GROUPS OF CLOSED ORIENTABLE SURFACES IN 4-SPACE
S KAMADA
TOPOLOGY Vol. 33 No. 1 p. 113-122 1994年1月 研究論文（学術雑誌）
-
Survey on 2-dimensional braids
Seiichi Kamada
第３６回幾何学シンポジウム講演要旨 p. 162-178 1994年
-
2-DIMENSIONAL BRAIDS AND CHART DESCRIPTIONS
S KAMADA
TOPICS IN KNOT THEORY Vol. 399 p. 277-287 1993年 研究論文（国際会議プロシーディングス）
-
Projective planes in 4-sphere obtained by deform-spinnings
Seiichi Kamada
in ``Knots 90'' ed. A. Kawauchi (Osaka 1990) p. 125-132 1992年
-
Surfaces in $R^4$ of braid index three are ribbon
Seiichi Kamada
Journal of Knot Theory and Its Ramifications Vol. 1 No. 2 p. 137-160 1992年
-
ORIENTABLE SURFACES IN THE 4-SPHERE ASSOCIATED WITH NONORIENTABLE KNOTTED SURFACES
S KAMADA
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY Vol. 108 No. 2 p. 299-306 1990年9月 研究論文（学術雑誌）
-
On deform-spun projective planes in $4$-sphere obtained from peripheral inverting deformations
Seiichi Kamada
Proc. KAIST Math. Workshop Vol. 5 p. 197-203 1990年
-
On doubled surfaces of non-orientable surfaces in the 4-sphere
Seiichi Kamada
Kobe Journal of Mathematics Vol. 7 No. 1 p. 19-24 1990年
出版者・発行元：神戸大学
-
NON-ORIENTABLE SURFACES IN 4-SPACE
S KAMADA
OSAKA JOURNAL OF MATHEMATICS Vol. 26 No. 2 p. 367-385 1989年6月 研究論文（学術雑誌）
