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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…