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Some Results on Fillings in Contact Geometry
Başlık:
Some Results on Fillings in Contact Geometry
Yazar:
Menke, Michael, author.
ISBN:
9780438019874
Yazar Ek Girişi:
Fiziksel Tanımlama:
1 electronic resource (50 pages)
Genel Not:
Source: Dissertation Abstracts International, Volume: 79-10(E), Section: B.
Advisors: Ko Honda Committee members: Zvi Bern; Robert Brown; Ciprian Manolescu.
Özet:
In this thesis we prove some classification results for symplectic and exact Lagrangian fillings in contact geometry. First we prove a classification result for symplectic fillings of certain contact manifolds. Let ( M,xi) be a contact 3-manifold and T2 ⊂ (M,xi a mixed torus. We prove a JSJ-type decomposition theorem for strong and exact symplectic fillings of (M,xi) when (M,xi) is cut along T 2. As an application we prove the uniqueness of exact fillings when (M,xi) is obtained by Legendrian surgery on a knot in ( S3,xistd which is stabilized both positively and negatively. Second we show a classification result for Lagrangian fillings of Legendrian representatives of positive braid closures in S3. This second result follows from an injectivity result for augmentation categories of positive braids.
Notlar:
School code: 0031
Konu Başlığı:
Tüzel Kişi Ek Girişi:
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Yer Numarası | Demirbaş Numarası | Shelf Location | Lokasyon / Statüsü / İade Tarihi |
---|---|---|---|
XX(682650.1) | 682650-1001 | Proquest E-Tez Koleksiyonu | Arıyor... |
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