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Creators/Authors contains: "Baker, Kenneth"

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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. ; ; ; ; (, European Journal of Wood and Wood Products)
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  3. ; ; ; ; ; ; ; ; ; ; et al (, Experimental Mathematics)
    In Dunfield’s catalog of the hyperbolic manifolds in the SnapPy census which are complements of L-space knots in S, we determine that 22 have tunnel number 2 while the remaining all have tunnel number 1. Notably, these 22 manifolds contain 9 asymmetric L-space knot complements. Furthermore, using SnapPy and KLO we find presentations of these 22 knots as closures of positive braids that realize the Morton-Franks-Williams bound on braid index. The smallest of these has genus 12 and braid index 4. 
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  4. ; ; ; ; ; (, IEEE Wireless Communications Letters)
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