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<p>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.</p>

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Tight contact structures on a family of hyperbolic L-spaces

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年7月4日

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  • Hyunki Min,
  • Isacco Nonino

摘要

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.