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Creators/Authors contains: "Lowrance, Adam M"

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  1. ; ; ; ; ; (, Research Directions in Symplectic and Contact Geometry and Topology)
    Acu, Bahar; Cannizzo, Catherine; McDuff, Dusa; Myer, Ziva; Pan, Yu; Traynor, Lisa (Ed.)
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  2. ; ; ; (, Canadian journal of mathematics)
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  3. ; ; (, The Electronic Journal of Combinatorics)
    In this paper, we prove that the $$2$$-factor polynomial, an invariant of a planar trivalent graph with a perfect matching, counts the number of $$2$$-factors that contain the perfect matching as a subgraph. Consequently, we show that the polynomial detects even perfect matchings. 
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  4. ; (, Fundamenta Mathematicae)
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  5. ; ; ; ; (, Journal of Knot Theory and Its Ramifications)
    Using region crossing changes, we define a new invariant called the multi-region index of a knot. We prove that the multi-region index of a knot is bounded from above by twice the crossing number of the knot. In addition, we show that the minimum number of generators of the first homology of the double branched cover of [Formula: see text] over the knot is strictly less than the multi-region index. Our proof of this lower bound uses Goeritz matrices. 
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