3 papers
math.GT2026
On the isotopies of tangles in periodic 3-manifolds using finite covers
Yuka Kotorii, Sonia Mahmoudi, Elisabetta A. Matsumoto +1
A periodic tangle is a one-dimensional submanifold in that has translational symmetry in one, two or three transverse directions. A periodic tangle can be seen as th…
math.GT2025
Linking numbers for periodic tangles
Yuka Kotorii, Ken'ichi Yoshida
Periodic tangles are 1-dimensional submanifolds in the 3-space with translational symmetry. In this paper, we define the linking numbers for singly, doubly, and triply periodic tan…
cond-mat.soft2025
Chiral Analogues of Knit Stitches Designed Using Chiral Topology
Shunsuke Takano, Yusuke Kochi, Ken'ichi Yoshida +4
Fabrics are flexible thin structures made of entangled yarn or fibers, yet the topological bases of their mechanics remain poorly understood. For weft knitted fabrics, we describe…