18 citations · 41 across the 9 of their papers we have counts for
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math.GT2022★ 1 cited
Entanglement statistics of polymers in a lattice tube and unknotting of 4-plats
Nicholas R. Beaton, Kai Ishihara, Mahshid Atapour +4
The Knot Entropy Conjecture states that the exponential growth rate of the number of -edge lattice polygons with knot-type is the same as that for unknot polygons. Moreover,…
math.GT2022★ 3 cited
Handlebody decompositions of 3-manifolds and polycontinuous patterns
Naoki Sakata, Ryosuke Mishina, Masaki Ogawa +4
We introduce the concept of a handlebody decomposition of a 3-manifold, a generalization of a Heegaard splitting, or a trisection. We show that two handlebody decompositions of a c…