22 citations · 56 across the 8 of their papers we have counts for
5 papers · 1 filter
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,…
Recent advances on the non-coherent band surgery model for site-specific recombination
Allison H. Moore, Mariel Vazquez
Site-specific recombination is an enzymatic process where two sites of precise sequence and orientation along a circle come together, are cleaved, and the ends are recombined. Site…
A note on band surgery and the signature of a knot
Allison H. Moore, Mariel Vazquez
Band surgery is an operation relating pairs of knots or links in the three-sphere. We prove that if two quasi-alternating knots and of the same square-free determinant are…
Distance one lens space fillings and band surgery on the trefoil knot
Tye Lidman, Allison H. Moore, Mariel Vazquez
We prove that if the lens space is obtained by a surgery along a knot in the lens space that is distance one from the meridional slope, then is in $\{-6, \pm…
Tangle analysis of difference topology experiments: applications to a Mu protein-DNA complex
Isabel K. Darcy, John Luecke, Mariel Vazquez
We develop topological methods for analyzing difference topology experiments involving 3-string tangles. Difference topology is a novel technique used to unveil the structure of st…