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pro vyhledávání: '"Akio Kawauchi"'
Autor:
Akio Kawauchi
Publikováno v:
Contemporary Mathematics. :182-188
The proof of uniqueness of an orthogonal 2-handle pair on a surface-link is given from the viewpoint of a normal form of 2-handle core disks. A version to an immersed orthogonal 2-handle pair on a surface-link is also observed.
This volume gathers the contributions from the international conference “Intelligence of Low Dimensional Topology 2006,” which took place in Hiroshima in 2006. The aim of this volume is to promote research in low dimensional topology with the foc
Autor:
AKIO KAWAUCHI1 kawauchi@sci.osaka-cu.ac.jp, AYAKA SHIMIZU2 shimizu@nat.gunma-ct.ac.jp, YOSHIRO YAGUCHI2 yaguchi-y@nat.gunma-ct.ac.jp
Publikováno v:
Kyungpook Mathematical Journal. 2019, Vol. 59 Issue 4, p797-820. 24p. 16 Diagrams, 1 Chart.
Autor:
Jieon Kim, Akio Kawauchi
Publikováno v:
Topology and its Applications. 264:462-472
It is shown that there are infinitely many immersed 2-knots with more than any previously given number of double point singularities which are not equivalent to the connected sum of any immersed 2-knot and any unknotted immersed sphere.
Publikováno v:
Topology and its Applications. 264:A1-A4
Autor:
Akio Kawauchi
Publikováno v:
Topology and its Applications. 264:66-78
A 4D universe is a 4-dimensional boundary-less connected oriented manifold with every closed 3-manifold (i.e., a 3-dimensional closed connected oriented manifold) embedded. A 4D punctured universe is a 4-dimensional boundary-less connected oriented m
Autor:
Akio Kawauchi
Publikováno v:
Reactive and Functional Polymers. 131:230-236
A knitting pattern is a tangle diagram in the square and a knitting is a tessellation of a knitting pattern in the plane. In this paper, a classification of the knitting patterns is done in terms of virtual links and some complexities of a knitting p
Publikováno v:
Topology and its Applications. 231:159-185
It is known that every surface-link can be presented by a marked graph diagram, and such a diagram presentation is unique up to moves called Yoshikawa moves. G. Kuperberg introduced a regular isotopy invariant, called the quantum A_2 invariant, for t
Autor:
Akio Kawauchi
Publikováno v:
Topology and its Applications. 230:194-217
The torsion Alexander polynomial, the reduced torsion Alexander polynomial and the local signature invariant of a cross-section of an immersed sphere-link are investigated from the viewpoint of how to influence to the immersed sphere-link. It is show
Autor:
Ikuo Tayama, Akio Kawauchi
Publikováno v:
Topology and its Applications. 230:425-443
A complete invariant defined for (closed, connected, orientable) 3-manifolds is an invariant defined for the 3-manifolds such that any two 3-manifolds with the same invariant are homeomorphic. Further, if the 3-manifold itself is reconstructed from t