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![Immersed Lagrangian Fillings of Legendrian Submanifolds via Generating Families için kapak resmi Immersed Lagrangian Fillings of Legendrian Submanifolds via Generating Families için kapak resmi](/client/assets/d79c3e4af2b6d196/ctx/images/no_image.png)
Immersed Lagrangian Fillings of Legendrian Submanifolds via Generating Families
Başlık:
Immersed Lagrangian Fillings of Legendrian Submanifolds via Generating Families
Yazar:
Pezzimenti, Samantha, author.
ISBN:
9780438133365
Yazar Ek Girişi:
Fiziksel Tanımlama:
1 electronic resource (125 pages)
Genel Not:
Source: Dissertation Abstracts International, Volume: 79-11(E), Section: B.
Advisors: Lisa Traynor Committee members: Leslie Cheng; Pedro Marenco; Paul Melvin; Djordje Milićević.
Özet:
When a Legendrian submanifold admits a generating family (GF), Sabloff and Traynor proved that there is an isomorphism between the GF-cohomology groups of the Legendrian and the cohomology groups of any GF-compatible embedded Lagrangian filling. In this paper, we show that a similar isomorphism exists for immersed GF-compatible Lagrangian fillings; this imposes restrictions on the minimum number and types of double points for any such filling. We also show that from an immersed GF-cobordisms between Legendrian submanifolds, there exists a long exact sequence relating the GF-cohomology groups of the two Legendrians and cohomology groups associated to the immersed Lagrangian. In addition, we give some constructions of immersed GF-compatible fillings.
Notlar:
School code: 0025
Konu Başlığı:
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Yer Numarası | Demirbaş Numarası | Shelf Location | Lokasyon / Statüsü / İade Tarihi |
---|---|---|---|
XX(693500.1) | 693500-1001 | Proquest E-Tez Koleksiyonu | Arıyor... |
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