Restriction varieties and geometric branching rules

DOI10.1016/j.aim.2011.07.010zbMath1262.14059OpenAlexW2051425037MaRDI QIDQ643443

Izzet Coskun

Publication date: 28 October 2011

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2011.07.010

zbMATH Keywords

moduli spaces of vector bundlesorthogonal Grassmanniansgeometric branching rulesorthogonal flag varieties

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Homogeneous complex manifolds (32M10)

Related Items (10)

Higher Fano manifolds ⋮ Flexibility of Schubert classes ⋮ Schubert calculus and quiver varieties ⋮ Symplectic restriction varieties and geometric branching rules. II ⋮ Singularities of restriction varieties in OG(k, n) ⋮ Betti numbers and pseudoeffective cones in 2-Fano varieties ⋮ Rigidity of Schubert classes in orthogonal Grassmannians ⋮ Quadratic solutions of quadratic forms ⋮ Branching Schubert calculus and the Belkale-Kumar product on cohomology ⋮ Eckardt Loci on Hypersurfaces

Cites Work

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• A Giambelli formula for isotropic Grassmannians
• A combinatorial rule for (co)minuscule Schubert calculus
• A Littlewood-Richardson rule for two-step flag varieties
• Quantum Pieri rules for isotropic Grassmannians
• Projections of orbits and asymptotic behavior of multiplicities for compact connected Lie groups
• Convexity properties of the moment mapping
• Classification of vector bundles of rank 2 on hyperelliptic curves
• A generalization of the Macdonald-You formula
• Schubert varieties and degeneracy loci
• Littlewood-Richardson rules for Grassmannians
• Addendum: A generalization of the Macdonald-You formula
• Branching Schubert calculus and the Belkale-Kumar product on cohomology
• Towards a Littlewood-Richardson rule for Kac-Moody homogeneous spaces
• Coadjoint orbits, moment polytopes, and the Hilbert-Mumford criterion
• Vanishing and nonvanishing criteria in Schubert calculus
• The enumerative geometry of Del Pezzo Surfaces via degenerations
• Degenerations of surface scrolls and the Gromov-Witten invariants of Grassmannians

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