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Preprints, Working Papers, ... Year : 2024

QUANTUM K-THEORY OF IG(2, 2n)

Vladimiro Benedetti
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Nicolas Perrin
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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.
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Dates and versions

hal-04462130 , version 1 (16-02-2024)

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Vladimiro Benedetti, Nicolas Perrin, Weihong Xu. QUANTUM K-THEORY OF IG(2, 2n). 2024. ⟨hal-04462130⟩
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