Implosion, contraction and Moore-Tachikawa
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Publication:6573200
DOI10.1142/S0129167X24410040MaRDI QIDQ6573200
Andrew Dancer, Frances Kirwan, Johan Martens
Publication date: 16 July 2024
Published in: International Journal of Mathematics (Search for Journal in Brave)
Geometric invariant theory (14L24) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Global theory of symplectic and contact manifolds (53D35) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02)
Cites Work
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- Integrable systems, toric degenerations and Okounkov bodies
- HyperKähler and quaternionic Kähler geometry
- Modifying hyper-Kähler manifolds with circle symmetry
- Hyperkähler metrics and supersymmetry
- Reduction of symplectic manifolds with symmetry
- Symplectic implosion
- Symplectic cuts
- On deformation quantizations of hypertoric varieties
- Symplectic singularities
- A new Weyl group action related to the quasi-classical Gelfand-Graev action
- On the Moore-Tachikawa varieties
- Differential operators on \(G/U\) and the Gelfand-Graev action
- Symplectic duality and implosions
- Implosions and hypertoric geometry
- Symplectic implosion and nonreductive quotients
- Intersection cohomology of hypertoric varieties
- A survey of hypertoric geometry and topology
- Geometric Invariant Theory
- Algebraic cuts
- Contraction of Hamiltonian $K$-Spaces
- Hypertoric Manifolds and HyperKähler Moment Maps
- Equivariant homology and K-theory of affine Grassmannians and Toda lattices
- Tilting Bundles on Hypertoric Varieties
- DIFFERENTIAL OPERATORS ON AND THE AFFINE GRASSMANNIAN
- Symplectic and Hyperkähler Implosion
- Implosion for hyperkähler manifolds
- The geometry and topology of toric hyperkähler manifolds
- Hyperkähler implosion and Nahm's equations
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