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Cohomology of Spaltenstein varieties

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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.

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Authors and Affiliations

  1. Department of Mathematics, University of Oregon, Eugene, Oregon, USA

    Jonathan Brundan & Victor Ostrik

Authors
  1. Jonathan Brundan
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  2. Victor Ostrik
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Corresponding author

Correspondence to Jonathan Brundan.

Additional information

To Professor Tonny Springer on the occasion of his eighty-fifth birthday

Supported by NSF grant DMS-0654147. (Jonathan Brundan)

Supported by NSF grant DMS-0602263. (Victor Ostrik)

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Brundan, J., Ostrik, V. Cohomology of Spaltenstein varieties. Transformation Groups 16, 619–648 (2011). https://doi.org/10.1007/s00031-011-9149-2

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