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.GT2023
Homotopy theories of colored links and spatial graphs
Yuka Kotorii, Atsuhiko Mizusawa
Two links are called link-homotopic if they are transformed to each other by a sequence of self-crossing changes and ambient isotopies. The notion of link-homotopy is generalized t…
math.GT2015
Yokota type invariants derived from non-integral highest weight representations of
Atsuhiko Mizusawa, Jun Murakami
We define invariants for colored oriented spatial graphs by generalizing CM invariants, which were defined via non-integral highest weight representations of . We apply…