Article Dans Une Revue Mathematical Research Letters Année : 2023

Affine symmetries in quantum cohomology: corrections and new results

Résumé

In [CMP09] a general formula was given for the multiplication by some special Schubert classes in the quantum cohomology of any homogeneous space. Although this formula is true in the non equivariant setting, the stated equivariant version was wrong. We provide correction for the equivariant formula, thus giving a correct argument for the non equivariant formula. We also give new formulas in the equivariant homology of the affine grassmannian that could lead to non-equivariant Pieri formulas.

Fichier principal
Vignette du fichier
2012.04938.pdf (323.26 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Licence

Dates et versions

hal-04257591 , version 1 (25-10-2023)

Licence

Identifiants

Citer

Pierre-Emmanuel Chaput, Nicolas Perrin. Affine symmetries in quantum cohomology: corrections and new results. Mathematical Research Letters, 2023, 30 (2), pp.341-374. ⟨10.4310/MRL.2023.v30.n2.a3⟩. ⟨hal-04257591⟩
83 Consultations
214 Téléchargements

Altmetric

Partager

  • More