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This is a Quantitative Study study.

October 16, 2025Open Access

Richardson tableaux and components of Springer fibers equal to Richardson varieties

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New subset of standard tableaux aligns with properties of springer fibers, suggesting deeper geometric implications.

Each component of the Springer fiber corresponds to a Richardson variety, revealing geometric properties.
The number of Richardson tableaux of size n equals the nth Motzkin number, demonstrating elegant enumeration.
Cohomology classes for these components can be computed in the Schubert basis, illustrating algebraic structure.
Smoothness of each component is proven through combinatorial descriptions of associated reading words.

Karp et al. (2025) studied this question.

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