Symplectic fillings of unit cotangent bundles of hyperbolic surfaces

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.

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Publication Details

Journal
Israel Journal of Mathematics
Published
2025-12-11
DOI
https://doi.org/10.1007/s11856-025-2856-5
Primary Topic
Geometric and Algebraic Topology
Type
article
Field-Weighted Citation Impact
0.00

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article

Symplectic fillings of unit cotangent bundles of hyperbolic surfaces

Kai Zehmisch, Hansjörg Geiges
Israel Journal of Mathematics
Geometric and Algebraic Topology
article

Symplectic fillings of unit cotangent bundles of hyperbolic surfaces

Kai Zehmisch, Hansjörg Geiges
article en

Abstract

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.

Israel Journal of Mathematics
University of Cologne (DE), Ruhr University Bochum (DE)
Deutsche Forschungsgemeinschaft
Openalex Percentile: Top 55%
Geometric and Algebraic Topology
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