On the big quantum cohomology of coadjoint varieties
Algebraic Geometry
2022-04-13 v2 Rings and Algebras
Symplectic Geometry
Abstract
This paper is devoted to the study of the quantum cohomology of coadjoint varieties of simple algebraic groups across all Dynkin types. We determine the non-semisimple factors of the small quantum cohomology ring and relate them to ADE-singularities. Moreover, we show that the big quantum cohomology of a coadjoint variety is always generically semisimple even though in most cases the small quantum cohomology is not.
Keywords
Cite
@article{arxiv.2112.12436,
title = {On the big quantum cohomology of coadjoint varieties},
author = {Nicolas Perrin and Maxim Smirnov},
journal= {arXiv preprint arXiv:2112.12436},
year = {2022}
}
Comments
v2: introduction is made more precise, sections 2-4 are reorganised and clarified, section 9 added, results remain unchanged