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

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, inclu...

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Veröffentlicht in:International mathematics research notices 2024-11, Vol.2024 (22), p.14061-14093
Hauptverfasser: Benedetti, V, Perrin, N, Xu, W
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Perrin, N
Xu, W
description 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.
doi_str_mv 10.1093/imrn/rnae232
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title Quantum K-Theory of IG(2,2n)
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