Quantum K-theory of IG(2, 2n)

Fuente: arXiv
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Autores principales: Benedetti, Vladimiro, Perrin, Nicolas, Xu, Weihong
Formato: Preprint
Publicado: 2024
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author Benedetti, Vladimiro
Perrin, Nicolas
Xu, Weihong
author_facet Benedetti, Vladimiro
Perrin, Nicolas
Xu, Weihong
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2402_12003
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Quantum K-theory of IG(2, 2n)
Benedetti, Vladimiro
Perrin, Nicolas
Xu, Weihong
Algebraic Geometry
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.
title Quantum K-theory of IG(2, 2n)
topic Algebraic Geometry
url https://arxiv.org/abs/2402.12003