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Tight contact structures on a family of hyperbolic L-spaces

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arxiv 2311.14103 v1 pith:TPPWIYGX submitted 2023-11-23 math.GT math.SG

Hyunki Min , Isacco Nonino This is my paper
classification math.GTmath.SG
keywords contactstructurestightfamilyhyperbolicl-spacesclassificationclassify
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We classify tight contact structures on various surgeries on the Whitehead link, which provides the first classification result on an infinite family of hyperbolic L-spaces. We also determine which of the tight contact structures are Stein fillable and which are virtually overtwisted.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Bordered contact invariants and half Giroux torsion

    math.GT 2025-06 conditional novelty 8.0 of 10

    Separating half Giroux torsion does not force the contact invariant to vanish: infinitely many closed counterexamples exist, disproving Ghiggini's conjecture.

  2. Pseudo-Anosov flows on hyperbolic L-spaces

    math.GT 2025-05 accept novelty 8.0 of 10

    For every even n≥4, infinitely many surgeries on the n-chain link are hyperbolic L-spaces with n orbit-inequivalent pseudo-Anosov flows and n universally tight non-contactomorphic contact structures.

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