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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…
math.GT2025
Linking number of grid models
Senja Barthel, Yuka Kotorii
This paper studies the linking numbers of random links within the grid model. The linking number is treated as a random variable on the isotopy classes of 2-component links, with t…
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…