Résume | Abstract: We investigate the moduli space of quiver representations of 3-Kronecker quiver with dimension vector (2,3). It is a blow down of Hilb^3(P^2) and comes with interesting embeddings into Grassmannians giving rise to the universal quiver representation. We construct an Aut-invariant full exceptional sequence for its derived category which verifies the (refined) Dubrovin Conjecture relating full Lefschetz collection of derived category to the generic semisimplicity of the big quantum cohomology. This is based on a joint work with Svetlana Makarova.
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