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Positivity in T -Equivariant K-Theory of Kac-Moody Flag Varieties
Başlık:
Positivity in T -Equivariant K-Theory of Kac-Moody Flag Varieties
Yazar:
Baldwin, Seth, author.
ISBN:
9780438064355
Yazar Ek Girişi:
Fiziksel Tanımlama:
1 electronic resource (74 pages)
Genel Not:
Source: Dissertation Abstracts International, Volume: 79-10(E), Section: B.
Advisors: Shrawan Kumar Committee members: Prakash Belkale; Jiuzu Hong; Richard Rimanyi; Alexander Varchenko.
Özet:
We prove a positivity result for the T-equivariant K-theory of flag varieties in the Kac-Moody case. Specifically, we show sign-alternation of the structure constants in the Schubert basis, which generalizes the work of Anderson-Griffeth-Miller from the finite case to the Kac-Moody case. Specializing this result to the affine Grassmannian implies sign-alternation of the structure constants of the affine stable Grothendieck polynomials as was conjectured by Lam-Schilling-Shimozono. Further, in the case of the affine Grassmannian associated to SL2, we determine an inductive formula for the T-equivariant structure constants and explicit closed forms for the ordinary structure constants in both the Schubert and dual bases.
Notlar:
School code: 0153
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Yer Numarası | Demirbaş Numarası | Shelf Location | Lokasyon / Statüsü / İade Tarihi |
---|---|---|---|
XX(679679.1) | 679679-1001 | Proquest E-Tez Koleksiyonu | Arıyor... |
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