Dubrovin's conjecture for $IG(2,6)$
Algebraic Geometry
2015-10-20 v1 Rings and Algebras
Symplectic Geometry
Abstract
We show that the big quantum cohomology of the symplectic isotropic Grassmanian 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.
Cite
@article{arxiv.1405.3857,
title = {Dubrovin's conjecture for $IG(2,6)$},
author = {Sergey Galkin and Anton Mellit and Maxim Smirnov},
journal= {arXiv preprint arXiv:1405.3857},
year = {2015}
}