28 citations
- Waseda UniversityJP6 papers
- Sapienza University of RomeIT5 papers
- Centre National de la Recherche ScientifiqueFR2 papers
- Future University HakodateJP2 papers
- Gakushuin UniversityJP2 papers
- The University of TokyoJP2 papers
- Toho UniversityJP2 papers
- Tokyo University of ScienceJP2 papers
- University of VictoriaCA2 papers
- Academy of Mathematics and Systems ScienceCN1 paper
- Chinese Academy of SciencesCN1 paper
- Institut de Mathématiques de BourgogneFR1 paper
14 papers · 1 filter
Crossing numbers and rotation numbers of cycles in a plane immersed graph
Ayumu Inoue, Naoki Kimura, Ryo Nikkuni +1
For any generic immersion of a Petersen graph into a plane, the number of crossing points between two edges of distance one is odd. The sum of the crossing numbers of all -cycle…
Milnor invariants, -moves and -moves for welded string links
Haruko A. Miyazawa, Kodai Wada, Akira Yasuhara
In a previous paper, the authors proved that Milnor link-homotopy invariants modulo classify classical string links up to -move and link-homotopy. As analogues to the welde…
Classification of string links up to -moves and link-homotopy
Haruko A. Miyazawa, Kodai Wada, Akira Yasuhara
Two string links are equivalent up to -moves and link-homotopy if and only if their all Milnor link-homotopy invariants are congruent modulo . Moreover, the set of the equiv…
Generalized Dehn twists on surfaces and homology cylinders
Yusuke Kuno, Gwenael Massuyeau
Let be a compact oriented surface. The Dehn twist along every simple closed curve induces an automorphism of the fundamental group of . There are two possib…
On the knot quandle of a fibered knot, finiteness and equivalence of knot quandles
Ayumu Inoue
We show that the structure of a fibered knot, as a fiber bundle, is reflected in its knot quandle. As an application, we discuss finiteness and equivalence of knot quandles of conc…
A comparison of classes in the Johnson cokernels of the mapping class groups of surfaces
Naoya Enomoto, Yusuke Kuno, Takao Satoh
In [ES2], the first and the third authors introduced new classes in the Johnson cokernels of the mapping class groups of surfaces by a representation theoretic approach based on so…