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Index Theory for Invariant Elliptic Operators on Manifolds with Proper Cocompact Group Actions
Başlık:
Index Theory for Invariant Elliptic Operators on Manifolds with Proper Cocompact Group Actions
Yazar:
Cheng, Gong, author.
ISBN:
9780355981612
Yazar Ek Girişi:
Fiziksel Tanımlama:
1 electronic resource (59 pages)
Genel Not:
Source: Dissertation Abstracts International, Volume: 79-10(E), Section: B.
Advisors: Xiang Tang Committee members: Quo-Shin Chi; Renato Feres; Jr-Shin Li; Yanli Song.
Özet:
In this thesis, we study G-invariant elliptic operators, and in particular Dirac operators, on the space of invariant sections of a Hermitian bundle over a (non-compact) manifold with a proper and cocompact Lie group action. We provide a canonical way to define the Hilbert space of invariant sections for proper and cocompact actions and prove that the G-invariant Dirac operators, and more generally, elliptic operators, are Fredholm for the Hilbert space we constructed. Using the framework developed in this thesis, we give a new proof of a generalized Lichnerowicz Vanishing Theorem for proper cocompact group actions as an application.
Notlar:
School code: 0252
Konu Başlığı:
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Yer Numarası | Demirbaş Numarası | Shelf Location | Lokasyon / Statüsü / İade Tarihi |
---|---|---|---|
XX(680806.1) | 680806-1001 | Proquest E-Tez Koleksiyonu | Arıyor... |
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