Dual exceptional collections on Lagrangian Grassmannians
arXiv:2301.02941 · doi:10.4213/sm9880e
Abstract
We construct graded left dual exceptional collections to the exceptional collections generating the blocks of Kuznetsov and Polishchuk on Lagrangian Grassmannians. As an application, we find explicit resolutions for some natural irreducible equivariant vector bundles.
v2: minor improvements, to appear in Sbornik: Mathematics