Dubrovin's conjecture for IG(2,6)


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.

Int. Math. Res. Not. IMRN 2015, no. 18, 8847–8859