3 papers
math.GT2026
Implementation of the Habegger--Lin decision algorithm
Yuka Kotorii, Atsuhiko Mizusawa
Habegger and Lin gave a classification of link-homotopy classes of links in terms of that of string links modulo certain group actions. As an application, they constructed an algor…
math.QA2022
Ribbon Yetter--Drinfeld modules and tangle invariants
Kazuo Habiro, Yuka Kotorii
We define notions of pivotal and ribbon objects in a monoidal category. These constructions give pivotal or ribbon monoidal categories from a monoidal category which is not necessa…
math.GT2013
Milnor invariants of length for links with vanishing Milnor invariants of length
Yuka Kotorii, Akira Yasuhara
J.-B. Meilhan and the second author showed that any Milnor -invariant of length between 3 and can be represented as a combination of HOMFLYPT polynomial of knots obta…