English

Symplectic fillings of unit cotangent bundles of hyperbolic surfaces

Symplectic Geometry 2025-12-17 v1

Abstract

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.

Keywords

Cite

@article{arxiv.2401.07687,
  title  = {Symplectic fillings of unit cotangent bundles of hyperbolic surfaces},
  author = {Hansjörg Geiges and Kai Zehmisch},
  journal= {arXiv preprint arXiv:2401.07687},
  year   = {2025}
}

Comments

9 pages