3 papers
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…
math.GT2025
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…