Unramified affine Springer fibers and isospectral Hilbert schemes

O Kivinen - Selecta Mathematica, 2020 - Springer
For any connected reductive group G over CC, we revisit Goresky–Kottwitz–MacPherson's
description of the torus equivariant Borel–Moore homology of affine Springer fibers Sp _ γ …

Gopakumar-Vafa Invariants and Macdonald Formula

L Zhao - arXiv preprint arXiv:2306.05547, 2023 - arxiv.org
In this paper, we present an investigation of the Gopakumar-Vafa (GV) invariant, a curve-
counting integral invariant associated with Calabi-Yau threefolds, as proposed by physicists …

[PDF][PDF] Affine Springer fibers, Hilbert schemes and knots

OS Kivinen - 2019 - math.ucdavis.edu
Symmetry is abundant in mathematics, and often appears in the guise of representation
theory. It often appears in unexpected places, and due to its highly structured nature can be …