Mathematical Research Letters

Volume 30 (2023)

Number 2

Affine symmetries in quantum cohomology: corrections and new results

Pages: 341 – 374

DOI: https://dx.doi.org/10.4310/MRL.2023.v30.n2.a3

Authors

Pierre-Emmanuel Chaput (Institut Elie Cartan de Lorraine, Université de Lorraine, Vandœuvre-les-Nancy, France)

Nicolas Perrin (Laboratoire de Mathématiques de Versailles, Université Paris-Saclay, Versailles, France; and Centre de Mathématiques Laurent Schwartz (CMLS), Institut Polytechnique de Paris, Palaiseau, France)

Abstract

In [$\href{https://dx.doi.org/10.4310/MRL.2009.v16.n1.a2}{\textrm{CMP09}}$] 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 is wrong. We provide correction for the equivariant formula, thus giving a correct argument for the non equivariant formula.

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Received 10 December 2020

Received revised 2 December 2021

Accepted 10 January 2022

Published 13 September 2023