3 problems

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The symmetric-group equivariance conjecture for parabolic category $\mathcal{O}^{\kappa}$
Let $\kappa$ be a decomposition of $n$ , let $\mathcal{O}^{\kappa}$ be the corresponding parabolic category, and let $\mathcal{B}_{\kappa}$ be its Springer variety. For each wall, l…
Conjectureopenbraid-groups category-o springer-varietiesarXiv posted 2 days ago
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The Springer cohomology conjecture for parabolic category $\mathcal{O}^{\kappa}$
Let $\kappa=(k_1,\dots,k_m)$ be a decomposition of $n$ , let $\mathcal{O}^{\kappa}$ be the corresponding parabolic highest weight category for $\mathfrak{sl}_n$ , and let…
Conjectureopencategory-o cohomology springer-varietiesarXiv posted 2 days ago
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The homeomorphism conjecture for the Springer variety and the crossingless-matching space
Let $S=\mathbb{S}^2$ and let $B$ be the set of crossingless matchings on $2n$ points. For each $a\text{ in }B$ , let $S_a\text{ be the submanifold of }S^{\mathord{\times}2n}$ consis…
Conjectureopencohomology springer-varieties topologyarXiv posted 2 days ago

The symmetric-group equivariance conjecture for parabolic category Oκ\mathcal{O}^{\kappa}Oκ