Work

On the big quantum cohomology of coadjoint varieties

Year: 2025

Type: article

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.

Source: Selecta Mathematica

DOI: 10.1007/s00029-025-01017-w

Authors: Nicolas Perrin, Maxim N. Smirnov

Institutions: École Polytechnique, Centre de Mathématiques Laurent Schwartz, University of Augsburg

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funders: Deutsche Forschungsgemeinschaft, Agence Nationale de la Recherche, Hausdorff Research Institute for Mathematics