On the big quantum cohomology of coadjoint varieties

2021/12/23 by Perrin, Nicolas, Smirnov, Maxim · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics #Rings and Algebras (math.RA) #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.2112.12436

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.

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• A-D-E diagrams, Hodge--Tate hyperplane sections and semisimple quantum cohomology

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