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The Geometry of Double Affine Hecke Algebra Superpolynomials
Başlık:
The Geometry of Double Affine Hecke Algebra Superpolynomials
Yazar:
Philipp, Ian, author.
ISBN:
9780438033757
Yazar Ek Girişi:
Fiziksel Tanımlama:
1 electronic resource (66 pages)
Genel Not:
Source: Dissertation Abstracts International, Volume: 79-10(E), Section: B.
Advisors: Ivan Cherednik Committee members: Prakash Belkale; Jiuzu Hong; Lev Rozansky; Alexander Varchenko.
Özet:
We formulate a conjecture which interprets DAHA superpolynomials colored by fundamental weights to the Borel-Moore cohomology of Jacobian factors and their flagged and higher rank generalizations. To study the generalized Jacobian factors we use a certain stratification derived from the valuation semi-group of the singularity and in special cases show that the components of the stratification of the flagged Jacobian factors and higher rank Jacobian factors are affine spaces. Once these results are in place it is easy to check the main conjecture. In the last section, we are able to check the conjecture for more sophisticated examples where the stratification does not consist of affine cells and study for a particular example which types of varieties may occur as components in the stratification.
Notlar:
School code: 0153
Tüzel Kişi Ek Girişi:
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Yer Numarası | Demirbaş Numarası | Shelf Location | Lokasyon / Statüsü / İade Tarihi |
---|---|---|---|
XX(678693.1) | 678693-1001 | Proquest E-Tez Koleksiyonu | Arıyor... |
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