Dubrovin's conjecture for $IG(2,6)$

Abstract

We show that the big quantum cohomology of the symplectic isotropic Grassmanian $IG(2,6)$ is generically semisimple, whereas its small quantum cohomology is known to be non-semisimple. This gives yet another case where Dubrovin's conjecture holds and stresses the need to consider the big quantum cohomology in its formulation.

References in corpus (2)

• Gamma classes and quantum cohomology of Fano manifolds: Gamma conjectures
• Semisimple quantum cohomology of some Fano varieties

Cited by in corpus (4)

• Geometry of horospherical varieties of Picard rank one
• Degenerate Riemann-Hilbert-Birkhoff problems, semisimplicity, and convergence of WDVV-potentials
• Residual categories for (co)adjoint Grassmannians in classical types
• On semisimplicity of quantum cohomology of ${\mathbb{P}}^1$-orbifolds