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Creators/Authors contains: "Moore, Allison"

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  1. ; ; ; ; (, Transactions of the American Mathematical Society, Series B)
    We show that if a composite θ-curve has (proper rational) unknotting number one, then it is the order 2 sum of a (proper rational) unknotting number one knot and a trivial θ-curve. We also prove similar results for 2-strand tangles and knotoids. 
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    Free, publicly-accessible full text available March 4, 2026
  2. ; ; (, Proceedings of the IEEERSJ International Conference on Intelligent Robots and Systems)
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  3. ; ; ; (, International Mathematics Research Notices)
    Abstract We establish some new relationships between Milnor invariants and Heegaard Floer homology. This includes a formula for the Milnor triple linking number from the link Floer complex, detection results for the Whitehead link and Borromean rings, and a structural property of the $$d$$-invariants of surgeries on certain algebraically split links. 
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  4. ; (, Bulletin of the London Mathematical Society)
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  5. ; (, Contemporary mathematics)
    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-specific recombination on a knotted substrate produces another knot or a two-component link depending on the relative orientation of the sites prior to recombination. Mathematically, site-specific recombination is modeled as coherent (knot to link) or non-coherent (knot to knot) banding. We here survey recent developments in the study of non-coherent bandings on knots and discuss biological implications. 
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  6. ; ; (, Quantum Topology)
    null (Ed.)
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  7. ; ; (, Algebraic & Geometric Topology)
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