On the big quantum cohomology of coadjoint varieties
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.
Authors
- Maxim Smirnov (ORCID: https://orcid.org/0000-0003-4178-2523)
- Nicolas Perrin (ORCID: https://orcid.org/0000-0001-9087-3793)
Institutions
- École Polytechnique (FR)
- University of Augsburg (DE)
- Centre de Mathématiques Laurent Schwartz (FR)
Publication Details
- Journal
- Selecta Mathematica
- Published
- 2025-03-06
- DOI
- https://doi.org/10.1007/s00029-025-01017-w
- Primary Topic
- Algebraic Geometry and Number Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Deutsche Forschungsgemeinschaft
- Agence Nationale de la Recherche
- Hausdorff Research Institute for Mathematics