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　2020/01　Research paper (scientific journal)

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　2019/12　Research paper (scientific journal)

On the group of ring motions of an H-trivial link

Celeste Damiani, Seiichi Kamada

Topology and its Applications　Vol. 264　p. 51-65　2019/09　Research paper (scientific journal)

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

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

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

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　Research paper (scientific journal)

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

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

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

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　2017/11　Research paper (scientific journal)

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　2017/10　Research paper (scientific journal)

Ribbon-clasp surface-links and normal forms of immersed surface-links

Seiichi Kamada, Kengo Kawamura

TOPOLOGY AND ITS APPLICATIONS　Vol. 230　p. 181-193　2017/10　Research paper (scientific journal)

Chart descriptions of regular braided surfaces

Seiichi Kamada, Takao Matumoto

TOPOLOGY AND ITS APPLICATIONS　Vol. 230　p. 218-232　2017/10　Research paper (scientific journal)

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

Double coverings of twisted links

Naoko Kamada, Seiichi Kamada

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS　Vol. 25　No. 9　p. 1641011-(22 pages)　2016/08　Research paper (scientific journal)

On Classification of Quandles of Cyclic Type

Seiichi Kamada, Hiroshi Tamaru, Koshiro Wada

TOKYO JOURNAL OF MATHEMATICS　Vol. 39　No. 1　p. 157-171　2016/06　Research paper (scientific journal)

Surface-knots

Seiichi Kamada

KNOT THEORY AND ITS APPLICATIONS　Vol. 670　p. 93-103　2016　Research paper (international conference proceedings)

Three-dimensional braids and their descriptions

J. Scott Carter, Seiichi Kamada

TOPOLOGY AND ITS APPLICATIONS　Vol. 196　p. 510-521　2015/12　Research paper (scientific journal)

Chart description for hyperelliptic Lefschetz fibrations and their stabilization

Hisaaki Endo, Seiichi Kamada

TOPOLOGY AND ITS APPLICATIONS　Vol. 196　p. 416-430　2015/12　Research paper (scientific journal)

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)　2015/09　Research paper (scientific journal)

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)　2015/09　Research paper (scientific journal)

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)　2015/09　Research paper (scientific journal)

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　2015/07　Research paper (scientific journal)

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

How to fold a manifold

J. Scott Carter, Seiichi Kamada

In ``New Ideas in Low Dimensional Topology"　Vol. 56　p. 31-77　2015

Quandles and symmetric quandles for higher dimensional knots

Seiichi Kamada

Banach Center Publications　Vol. 103　p. 145-158　2014

Cords and 1-handles attached to surface-knots

Seiichi Kamada

Boletin de la Sociedad Matematica Mexicana　Vol. 20　No. 2　p. 595-609　2014

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)　2012/11　Research paper (scientific journal)

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　2012/03　Research paper (scientific journal)

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　2011/06　Research paper (scientific journal)

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　2010/10　Research paper (scientific journal)

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

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　2010/01　Research paper (scientific journal)

The Miyazawa polynomial for long virtual knots

Atsushi Ishii, Naoko Kamada, Seiichi Kamada

TOPOLOGY AND ITS APPLICATIONS　Vol. 157　No. 1　p. 290-297　2010/01　Research paper (scientific journal)

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　2008/06　Research paper (scientific journal)

Braid presentation of virtual knots and welded knots

Seiichi Kamada

OSAKA JOURNAL OF MATHEMATICS　Vol. 44　No. 2　p. 441-458　2007/06　Research paper (scientific journal)

Graphic descriptions of monodromy representations

Seiichi Kamada

TOPOLOGY AND ITS APPLICATIONS　Vol. 154　No. 7　p. 1430-1446　2007/04　Research paper (scientific journal)

Quandles with good involutions, their homologies and knot invariants

Seiichi Kamada

In: Intelligence of Low Dimensional Topology 2006　p. 101-108　2007

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　Research paper (scientific journal)

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　2005/04　Research paper (scientific journal)

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

Enveloping monoidal quandles

S Kamada, Y Matsumoto

TOPOLOGY AND ITS APPLICATIONS　Vol. 146　p. 133-148　2005/01　Research paper (scientific journal)

Word representation of cords on a punctured plane

S Kamada, Y Matsumoto

TOPOLOGY AND ITS APPLICATIONS　Vol. 146　p. 21-50　2005/01　Research paper (scientific journal)

Invariants of virtual braids and a remark on left stabilizations and virtual exchange moves

Seiichi Kamada

Kobe Journal of Mathematics　Vol. 21　No. 1　p. 33-49　2004

Diagrammatic computations for quandles and cocycle knot invariants

JS Carter, S Kamada, M Saito

DIAGRAMMATIC MORPHISMS AND APPLICATIONS　Vol. 318　p. 51-74　2003　Research paper (international conference proceedings)

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　Research paper (scientific journal)

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　2002/06　Research paper (scientific journal)

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　2002/05　Research paper (scientific journal)

Knot invariants derived from quandles and racks

Seiichi Kamada

Geometry and Topology Monographes　Vol. 4　p. 103-117　2002

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　Research paper (scientific journal)

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　2001/06　Research paper (scientific journal)

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　2001/05　Research paper (scientific journal)

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　2001/04　Research paper (scientific journal)

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　2001/03　Research paper (scientific journal)

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

Wirtinger presentations for higher dimensional manifold knots obtained from diagrams

S Kamada

FUNDAMENTA MATHEMATICAE　Vol. 168　No. 2　p. 105-112　2001　Research paper (scientific journal)

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

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　2001/01　Research paper (scientific journal)

Abstract link diagrams and virtual knots

N Kamada, S Kamada

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS　Vol. 9　No. 1　p. 93-106　2000/02　Research paper (scientific journal)

Certain racks associated with the braid groups

Seiichi Kamada, Yukio Matsumoto

in ``Knots in Hellas, 98'' (Greece, 1998)　p. 118-130　2000

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　Research paper (scientific journal)

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　1999/11　Research paper (scientific journal)

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　1999/03　Research paper (scientific journal)

Arrangement of Markov moves for 2-dimensional braids

Seiichi Kamada

Contemporary Mathematics　Vol. 233　p. 197-213　1999

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　Research paper (scientific journal)

Standard forms of 3-braid 2-knots and their Alexander polynomials

S Kamada

MICHIGAN MATHEMATICAL JOURNAL　Vol. 45　No. 1　p. 189-205　1998　Research paper (scientific journal)

Quantum inverse and braid monodromies

Seiichi Kamada

Hokkaido University Technical Report Series in Mathematics　Vol. 51　p. 45-51　1997

Unknotting operations for 1- and 2-dimensional links

Seiichi Kamada

Proc. Applied Math. Workshop, KAIST　Vol. 8　p. 103-117　1997

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

An observation of surface braids via chart description

S Kamada

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS　Vol. 5　No. 4　p. 517-529　1996/08　Research paper (scientific journal)

On braid monodromies of non-simple braided surfaces

S Kamada

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY　Vol. 120　No. 2　p. 237-245　1996/08　Research paper (scientific journal)

Crossing changes for singular 2-dimensional braids without branch points

Seiichi Kamada

Kobe Journal of Mathematics　Vol. 13　No. 2　p. 177-182　1996

ALEXANDER AND MARKOV THEOREMS IN DIMENSION-4

S KAMADA

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY　Vol. 31　No. 1　p. 64-67　1994/07

On 2-dimensional braids and 2-links

Seiichi Kamada

Proc. Applied Math. Workshop, KAIST　Vol. 4　p. 33-39　1994

A CHARACTERIZATION OF GROUPS OF CLOSED ORIENTABLE SURFACES IN 4-SPACE

S KAMADA

TOPOLOGY　Vol. 33　No. 1　p. 113-122　1994/01　Research paper (scientific journal)

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

2-DIMENSIONAL BRAIDS AND CHART DESCRIPTIONS

S KAMADA

TOPICS IN KNOT THEORY　Vol. 399　p. 277-287　1993　Research paper (international conference proceedings)

Projective planes in 4-sphere obtained by deform-spinnings

Seiichi Kamada

in ``Knots 90'' ed. A. Kawauchi (Osaka 1990)　p. 125-132　1992

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

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　1990/09　Research paper (scientific journal)

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

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

NON-ORIENTABLE SURFACES IN 4-SPACE

S KAMADA

OSAKA JOURNAL OF MATHEMATICS　Vol. 26　No. 2　p. 367-385　1989/06　Research paper (scientific journal)