Quantum <i>K</i>-Theory of IG(2,2<i>n</i>)
Abstract We prove that the Schubert structure constants of the quantum $K$-theory rings of symplectic Grassmannians of lines have signs that alternate with codimension and vanish for degrees at least 3. We also give closed formulas that characterize the multiplicative structure of these rings, including the Seidel representation and a Chevalley formula.
Authors
- Vladimiro Benedetti (ORCID: https://orcid.org/0000-0001-7113-1639)
- W. Xu (ORCID: https://orcid.org/0000-0002-9155-0862)
- Nicolas Perrin (ORCID: https://orcid.org/0000-0001-9087-3793)
Institutions
- California Institute of Technology (US)
- Centre National de la Recherche Scientifique (FR)
- École Polytechnique (FR)
- Université Côte d'Azur (FR)
- Centre de Mathématiques Laurent Schwartz (FR)
- Laboratoire Jean-Alexandre Dieudonné (FR)
Publication Details
- Journal
- International Mathematics Research Notices
- Published
- 2024-09-30
- DOI
- https://doi.org/10.1093/imrn/rnae232
- Citations
- 1
- Primary Topic
- Algebraic structures and combinatorial models
- Type
- article
- Field-Weighted Citation Impact
- 1.01