Author

Nikolay Grantcharov

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Preprint Sep 2026

Cohomology on Cotangent Bundles of Partial Flag Varieties in Type A

Let $G=\mathrm{SL}_n(\mathbf C)$ and let $P\subset G$ be a standard parabolic subgroup with Levi factor $L$. For a $G$-dominant weight $\lambda$, consider the vector bundle on $T^*(G/P)$ obtained by pulling back the vector bundle on $G/P$ associated to the irreducible $L$-module $V_L(\lambda)^*$. We express its cohomol...

Nikolay Grantcharov · 1 citation · ⚡1