2 problems

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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…
opencategory-o cohomology springer-varieties
03
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 $S_a$ be the submanifold of $S^{\mathord{\times}2n}$ consis…
opencohomology springer-varieties topology
04

The Springer cohomology conjecture for parabolic category Oκ\mathcal{O}^{\kappa}Oκ