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Journal of Lie Theory 25 (2015), No. 4, 1073--1087
Copyright Heldermann Verlag 2015

The Torus-Equivariant Cohomology of Nilpotent Orbits

Peter Crooks
Dept. of Mathematics, University of Toronto, 40 St. George Street, Toronto M5S 2E4, Canada

We consider aspects of the geometry and topology of nilpotent orbits in finite-dimensional complex simple Lie algebras. In particular, we give the equivariant cohomologies of the regular and minimal nilpotent orbits with respect to the action of a maximal compact torus of the overall group in question.

Keywords: Nilpotent orbit, equivariant cohomology.

MSC: 14M17, 57T15

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