On the derived category of IGr(3, 9)

Abstract

We construct a minimal Lefschetz decomposition of the bounded derived category of the odd isotropic Grassmannian $\mathsf{IGr}(3,9)$. The exceptional objects are ${\mathsf{Sp}}_9$-equivariant vector bundles. This provides further evidence of the Kuznetsov-Smirnov version of Dubrovin conjecture.

arXiv comment39 pages, 11 figures