10 citations · 15 across the 5 of their papers we have counts for
6 papers
Microlocal Perverse Sheaves
S. Gelfand, R. MacPherson, K. Vilonen
Microlocal perverse sheaves form a stack on the cotangent bundle of a complex manifold that is the analogue of the stack of perverse sheaves on the manifold itself. We give an embe…
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)…
Errata to: Local contribution to the Lefschetz fixed point formula
Mark Goresky, Robert MacPherson
This note contains a correction to the paper, ``Local contribution to the Lefschetz fixed point formula'', Inv. Math. 111 (1993), pp. 1-33.
From moment graphs to intersection cohomology
Tom Braden, Robert MacPherson
We describe a method of computing equivariant and ordinary intersection cohomology of certain varieties with actions of algebraic tori, in terms of structure of the zero- and one-d…