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arXiv · 1405.3857

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

Sergey Galkin·Anton Mellit·Maxim Smirnov
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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.

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BibTeXRIS

Sergey Galkin, Anton Mellit, Maxim Smirnov. 2014-05-15. Dubrovin's conjecture for $IG(2,6)$. https://doi.org/10.1093/imrn%2Frnu205

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