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  1. ; ( , Journal of the London Mathematical Society)
    Abstract

    We prove that all rational slopes are characterizing for the knot , except possibly for positive integers. Along the way, we classify the Dehn surgeries on knots in that produce the Brieskorn sphere , and we study knots on which large integral surgeries are almost L‐spaces.

     
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    Free, publicly-accessible full text available June 1, 2025
  2. ; ; ; ( , Geometry & Topology)
    Free, publicly-accessible full text available January 1, 2025
  3. ; ; ( , Compositio Mathematica)

    Suppose$\mathcal {H}$is an admissible Heegaard diagram for a balanced sutured manifold$(M,\gamma )$. We prove that the number of generators of the associated sutured Heegaard Floer complex is an upper bound on the dimension of the sutured instanton homology$\mathit {SHI}(M,\gamma )$. It follows, in particular, that strong L-spaces are instanton L-spaces.

     
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  4. ; ( , Annales Henri Lebesgue)
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