Eylem Seç
The Gromov Width of Symplectic Cuts of Symplectic Manifolds
Başlık:
The Gromov Width of Symplectic Cuts of Symplectic Manifolds
Yazar:
Huynh, My Thanh, author.
ISBN:
9780438027381
Yazar Ek Girişi:
Fiziksel Tanımlama:
1 electronic resource (78 pages)
Genel Not:
Source: Dissertation Abstracts International, Volume: 79-10(E), Section: B.
Advisors: Tara S. Holm Committee members: Reyer Sjamaar; Michael E. Stillman.
Özet:
In 1985, Gromov discovered a rigidity phenonmenon for symplectic embeddings which led to the concept of Gromov width: a measure of the largest ball that can be symplectically embedded inside a symplectic manifold. This is an invariant of the symplectic form. The central theme of this thesis is computing the Gromov width of symplectic cuts. We do this for two classes of symplectic manifolds: four-dimensional toric manifolds and complex Grassmannian manifolds. Symplectic cutting results in symplectic manifolds of smaller volume. A natural question is whether the Gromov width decreases (or at least does not increase) under this operation. In this thesis we use symplectic embedding techniques and theory of J-holomorphic curves to establish lower and upper bounds on Gromov width. In the case of 4-dimensional toric symplectic manifolds, we answer the question positively for any symplectic cuts that result in smooth manifolds. We then compute the exact Gromov width of certain cuts of complex Grassmannians, again establishing the desired monotonicity.
Notlar:
School code: 0058
Konu Başlığı:
Tüzel Kişi Ek Girişi:
Mevcut:*
Yer Numarası | Demirbaş Numarası | Shelf Location | Lokasyon / Statüsü / İade Tarihi |
---|---|---|---|
XX(681706.1) | 681706-1001 | Proquest E-Tez Koleksiyonu | Arıyor... |
On Order
Liste seç
Bunu varsayılan liste yap.
Öğeler başarıyla eklendi
Öğeler eklenirken hata oldu. Lütfen tekrar deneyiniz.
:
Select An Item
Data usage warning: You will receive one text message for each title you selected.
Standard text messaging rates apply.