Fitting without fittings

2025/06/09 by Johanna Bimmermann, Bimmermann, Johanna, Bernd Stratmann +3
Mathematics · #32Q65 #53D35 #57R17 #57R80 #Analytic and geometric function theory #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.2506.07525

openalex publication_date 2025/06/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that all symplectically aspherical fillings of the unit cotangent bundle of a given odd-dimensional sphere are diffeomorphic to the corresponding unit co-disc bundle. The concept of fittings previously introduced is not needed.

Citations

• Symplectic fillings of unit cotangent bundles of spheres and applications
• Bourgeois contact structures: tightness, fillability and applications
• Symplectic manifolds with contact type boundaries

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