Intersections of twisted cotangent bundles and symplectic duality

2025/10/22 by Naichung Conan Leung, Leung, Naichung Conan, Wei, Yunsong
Mathematics · #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2510.19259

openalex publication_date 2025/10/22 · openalex created_date 2025/10/24 · openalex updated_date 2026/07/28

Abstract

We observe that numerous symplectic resolutions can be expressed as intersections of twisted cotangent bundles. Additionally, their dual symplectic resolutions can be derived from intersections of dual twisted cotangent bundles. We determine the collection of fixed points for certain intersections that are Poisson slices, extending the computations of fixed points for parabolic Slodowy varieties.

Citations

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Related

• Geometry of symplectic intersections
• Symplectic resolutions, symplectic duality, and Coulomb branches
• Geometry and topology of symplectic resolutions
• Derived intersections over the Hochschild cochain complex
• A survey on symplectic singularities and resolutions