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<p>We consider strong symplectic fillings of the unit cotangent bundle of a hyperbolic surface, equipped with its canonical contact structure. We show that every finitely presentable group can be realised as the fundamental group of such a filling.</p>

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Symplectic fillings of unit cotangent bundles of hyperbolic surfaces

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年12月11日

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  • Hansjörg Geiges,
  • Kai Zehmisch

摘要

We consider strong symplectic fillings of the unit cotangent bundle of a hyperbolic surface, equipped with its canonical contact structure. We show that every finitely presentable group can be realised as the fundamental group of such a filling.