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
peter.crooks@utoronto.ca
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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