3 citations · 5 across the 4 of their papers we have counts for
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Regular points in affine Springer fibers
Mark Goresky, Robert Kottwitz, Robert MacPherson
Work of Kazhdan-Lusztig and Bezrukavnikov suggests the importance of points in affine Springer fibers for which the associated conjugacy class in the finite dimensional Lie algebra…
Homology of affine Springer fibers in the unramified case
Mark Goresky, Robert Kottwitz, Robert MacPherson
Assuming a certain "purity" conjecture, we derive a formula for the (complex) cohomology groups of the affine Springer fiber corresponding to any unramified regular semi-simple ele…
Purity of equivalued affine Springer fibers
Mark Goresky, Robert Kottwitz, Robert MacPherson
The affine Springer fiber corresponding to a regular integral equivalued semisimple element admits a paving by vector bundles over Hessenberg varieties and hence its (Borel-Moore)…