2025/11/21 by Joël D. Beimler, Beimler, Joël D., William E. Olsen +1 · 1 voice · 1 citation
Mathematics · #53D30 #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Geometry and complex manifolds #Symplectic Geometry (math.SG) #math.GT #math.SG
paper · pdf · doi:10.48550/arxiv.2511.17352
openalex publication_date 2025/11/21 · arxiv published 2025/11/21 · openalex created_date 2025/11/25 · arxiv updated 2026/01/26 · openalex updated_date 2026/07/28
We prove that the generic fibre of the Betti moduli space associated to any of the ten Painlevé equations coincides with the result of attaching Weinstein handles along the Stokes Legendrian, and provide Weinstein handlebody diagrams for each of them in the process. We moreover extend the procedure for obtaining presentations in Gompf normal form of Weinstein manifolds obtained by attaching handles to Legendrian lifts of cooriented curves in surfaces to their unit cotangent bundle to the case where the surface may have nonempty boundary.