Cohomology of Spaltenstein varieties

Abstract

We give a presentation for the cohomology algebra of the Spaltenstein variety of all partial flags annihilated by a fixed nilpotent matrix, generalizing the description of the cohomology algebra of the Springer fiber found by De Concini, Procesi and Tanisaki.

28 pages

References in corpus (2)

• Parabolic category O, perverse sheaves on Grassmannians, Springer fibres and Khovanov homology
• Localization algebras and deformations of Koszul algebras

Cited by in corpus (13)

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• The sl_3 web algebra
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• Localization algebras and deformations of Koszul algebras
• The sl(N)-web algebras and dual canonical bases
• From representations of the rational Cherednik algebra to parabolic Hilbert schemes via the Dunkl-Opdam subalgebra
• An explicit bijection between semistandard tableaux and non-elliptic sl_3 webs
• An algebro-geometric realization of the cohomology ring of Hilbert scheme of points in the affine plane
• q-Whittaker functions, finite fields, and Jordan forms
• Trace and categorical sl(n) representations