78 citations
- Institute of High Energy PhysicsCN2 papers
- University of ViennaAT2 papers
- University of WürzburgDE2 papers
- Akdeniz UniversityTR1 paper
- Azerbaijan National Academy of SciencesAZ1 paper
- CEA Paris-SaclayFR1 paper
- Centre National de la Recherche ScientifiqueFR1 paper
- Centro Universitário Fundação Santo AndréBR1 paper
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR1 paper
- Deutsches Elektronen-Synchrotron DESYDE1 paper
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5 papers · 1 filter
Regular homotopic deformation of compact surface with boundary and mapping class group
Susumu Hirose, Akira Yasuhara
A necessary and sufficient algebraic condition for a diffeomorphism over a surface embedded in the 3-sphere to be induced by a regular homotopic deformation is discussed, and a for…
Complementary Regions of Knot and Link Diagrams
Colin Adams, Reiko Shinjo, Kokoro Tanaka
An increasing sequence of integers is said to be universal for knots and links if every knot and link has a projection to the sphere such that the number of edges of each complemen…
Brunnian local moves of knots and Vassiliev invariants
Akira Yasuhara
K. Habiro gave a neccesary and sufficient condition for knots to have the same Vassiliev invariants in terms of -move. In this paper we give another geometric condition in ter…
Signature of rotors
Mieczyslaw K. Dabkowski, Makiko Ishiwata, Jozef H. Przytycki +1
Rotors were introduced in Graph Theory by W.Tutte. The concept was adapted to Knot Theory as a generalization of mutation by Anstee, Przytycki and Rolfsen in 1987. In this paper we…
A factorization of the Conway polynomial and covering linkage invariants
Tatsuya Tsukamoto, Akira Yasuhara
J.P. Levine showed that the Conway polynomial of a link is a product of two factors: one is the Conway polynomial of a knot which is obtained from the link by banding together the…