Research keywords (3):
Low dimensional Topology
, Quandle Theory
, Knot Theory
Research theme for competitive and other funds (3):
2019 - 2023 Structures of knots and quandle cocycle invariants
2016 - 2019 Quandle theory, in the context of symmetry, for knot theory
2011 - 2012 Study on quandle theory to classifying links up to link-homotopy
Papers (13):
Ayumu Inoue. The knot quandle of the twist-spun trefoil is a central extension of a Schlafli quandle. Osaka Journal of Mathematics. 2023. 60. 3. 597-611
Ayumu Inoue, Naoki Kimura, Ryo Nikkuni, Kouki Taniyama. Crossing numbers and rotation numbers of cycles in a plane immersed graph. Journal of Knot Theory and Its Ramifications. 2022
Ayumu Inoue. On the knot quandle of a fibered knot, finiteness and equivalence of knot quandles. Topology and its Applications. 2019. 265. 106811-1-106811-8