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

V. Benedetti; N. Perrin; W. Xu

doi:10.1093/imrn/rnae232

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

V. Benedetti
, N. Perrin
, W. Xu

Université de Nice
California Institute of Technology

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

2 Citations (Scopus)

Résumé

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.

langue originale	Anglais
Pages (de - à)	14061-14093
Nombre de pages	33
journal	International Mathematics Research Notices
Volume	2024
Numéro de publication	22
Les DOIs	https://doi.org/10.1093/imrn/rnae232
état	Publié - 1 nov. 2024

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10.1093/imrn/rnae232

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title = "Quantum K-Theory of IG(2,2n)",

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.",

author = "V. Benedetti and N. Perrin and W. Xu",

year = "2024",

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T1 - Quantum K-Theory of IG(2,2n)

AU - Benedetti, V.

AU - Perrin, N.

AU - Xu, W.

PY - 2024/11/1

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N2 - 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.

AB - 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.

U2 - 10.1093/imrn/rnae232

DO - 10.1093/imrn/rnae232

M3 - Article

AN - SCOPUS:85210916259

SN - 1073-7928

VL - 2024

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EP - 14093

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

IS - 22

ER -

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

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