Two-row Delta Springer varieties
(2025) Algebraic combinatorics ā Vol. 8, nĀ° 4, p. 925-953 (2025)
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- Abstract
- We study the geometry and topology of Ī-Springer varieties associated with two-row partitions. These varieties were introduced in recent work by Griffin-Levinson-Woo to give a geometric realization of a symmetric function appearing in the Delta conjecture by Haglund-Remmel-Wilson. We provide an explicit and combinatorial description of the irreducible components of the two-row Ī-Springer variety and compare it to the ordinary two-row Springer fiber as well as Kato's exotic Springer fiber corresponding to a one-row bipartition. In addition to that, we extend the action of the symmetric group on the homology of the two-row Ī-Springer variety to an action of a degenerate affine Hecke algebra and relate this action to a š¤š©2-tensor space.
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Dos Santos Santana Forte Vaz, P., & et al. (2025). Two-row Delta Springer varieties. Algebraic combinatorics, 8(4), 925-953. https://doi.org/10.5802/alco.435 (Original work published 2025)