3 citations · 5 across the 4 of their papers we have counts for
7 papers
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.
Moduli space of real abelian varieties with level structure
Mark Goresky, Yung sheng Tai
The moduli space of principally polarized abelian varieties with real structure and with level structure (with ) is shown to coincide with the set of real points of…
Abelian surfaces with anti-holomorphic multiplication
Mark Goresky, Yung sheng Tai
For appropriate and the moduli space of principally polarized abelian surfaces with level structure and anti-holomorphic multiplication by (the r…