Defines the untangling number for 3-periodic tangles and proves that ground states for infinite open curves are crystallographic rod packings.
Preprint at https://arxiv.org/abs/2310.00822 (2023)
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
math.GT 2years
2025 2verdicts
UNVERDICTED 2representative citing papers
Extends Turaev's loop bracket from planar knotoids to annular and toroidal knotoids, with universal versions recovering the Kauffman bracket skein modules of the thickened annulus and torus.
citing papers explorer
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The untangling number of 3-periodic tangles
Defines the untangling number for 3-periodic tangles and proves that ground states for infinite open curves are crystallographic rod packings.
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From annular to toroidal knotoids and their universal bracket polynomials
Extends Turaev's loop bracket from planar knotoids to annular and toroidal knotoids, with universal versions recovering the Kauffman bracket skein modules of the thickened annulus and torus.