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Creators/Authors contains: "Lidman, Tye"

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  1. ; ; (, Mathematical Research Letters)
    Free, publicly-accessible full text available February 10, 2026
  2. ; ; (, Mathematical research letters)
    Free, publicly-accessible full text available February 10, 2026
  3. ; ; (, Geometry & Topology)
    We show that there exist infinitely many closed 3–manifolds that do not embed in closed symplectic 4–manifolds, disproving a conjecture of Etnyre–Min–Mukherjee. To do this, we construct L–spaces that cannot bound positive- or negative-definite manifolds. The arguments use Heegaard Floer correction terms and instanton moduli spaces. 
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    Free, publicly-accessible full text available November 25, 2025
  4. ; ; (, arXiv)
    Accepted Manuscript Full Text Available
  5. ; ; ; ; (, Mathematische Annalen)
    Abstract We prove an equivariant version of the Cosmetic Surgery Conjecture for strongly invertible knots. Our proof combines a recent result of Hanselman with the Khovanov multicurve invariants$${\widetilde{{{\,\textrm{Kh}\,}}}}$$ Kh ~ and$${\widetilde{{{\,\textrm{BN}\,}}}}$$ BN ~ . We apply the same techniques to reprove a result of Wang about the Cosmetic Crossing Conjecture and split links. Along the way, we show that$${\widetilde{{{\,\textrm{Kh}\,}}}}$$ Kh ~ and$${\widetilde{{{\,\textrm{BN}\,}}}}$$ BN ~ detect if a Conway tangle is split. 
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  6. ; ; ; (, Advances in Mathematics)
    Full Text Available 
  7. ; ; ; ; ; (, Open Book Series)
    Full Text Available 
  8. ; ; (, Documenta Mathematica)
    Full Text Available 
  9. ; ; (, Documenta mathematica)
    Given a double cover between 3-manifolds branched along a nullhomologous link, we establish an inequality between the dimensions of their Heegaard Floer homologies. We discuss the relationship with the L-space conjecture and give some other topological applications, as well as an analogous result for sutured Floer homology. 
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    Accepted Manuscript Full Text Available
  10. ; ; ; (, 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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    Full Text Available