Intersections of twisted cotangent bundles and symplectic duality
Naichung Conan Leung, Yunsong Wei
TL;DR
This paper explores how many symplectic resolutions can be represented as intersections of twisted cotangent bundles and their duals, extending fixed point computations to Poisson slices and parabolic Slodowy varieties.
Contribution
It introduces a novel perspective on symplectic resolutions as intersections of twisted cotangent bundles and extends fixed point analysis to new classes of Poisson slices.
Findings
Symplectic resolutions can be expressed as intersections of twisted cotangent bundles.
Dual symplectic resolutions are obtained from intersections of dual twisted cotangent bundles.
Fixed point computations are extended to Poisson slices and parabolic Slodowy varieties.
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.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometry and complex manifolds · Homotopy and Cohomology in Algebraic Topology