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A conjectural Peterson isomorphism in K-theory

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 نشر من قبل Li Changzheng
 تاريخ النشر 2017
  مجال البحث
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We state a precise conjectural isomorphism between localizations of the equivariant quantum K-theory ring of a flag variety and the equivariant K-homology ring of the affine Grassmannian, in particular relating their Schubert bases and structure constants. This generalizes Petersons isomorphism in (co)homology. We prove a formula for the Pontryagin structure constants in the K-homology ring, and we use it to check our conjecture in few situations.



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