Lagrangian Tori in R4 and S2xS2
Abstract/Contents
- Abstract
- We study problems of classification of Lagrangian embeddings of a torus in a symplectic 4-manifold. First we complete the proof of a claim that all Lagrangian tori in R^4 are isotopic. Next we present a construction of Lagrangian tori and Klein bottles in monotone S^2xS^2. Finally we show that all monotone tori may be produced from such a construction, and outline a new approach to the problem of finding the Hamiltonian isotopy classes of monotone tori in S^2xS^2.
Description
| Type of resource | text |
|---|---|
| Form | electronic; electronic resource; remote |
| Extent | 1 online resource. |
| Publication date | 2015 |
| Issuance | monographic |
| Language | English |
Creators/Contributors
| Associated with | Goodman, Elizabeth Sarah Quirk |
|---|---|
| Associated with | Stanford University, Department of Mathematics. |
| Primary advisor | Eliashberg, Y, 1946- |
| Thesis advisor | Eliashberg, Y, 1946- |
| Thesis advisor | Ionel, Eleny |
| Thesis advisor | Vakil, Ravi |
| Advisor | Ionel, Eleny |
| Advisor | Vakil, Ravi |
Subjects
| Genre | Theses |
|---|
Bibliographic information
| Statement of responsibility | Elizabeth S. Q. Goodman. |
|---|---|
| Note | Submitted to the Department of Mathematics. |
| Thesis | Thesis (Ph.D.)--Stanford University, 2015. |
| Location | electronic resource |
Access conditions
- Copyright
- © 2015 by Elizabeth Sarah Quirk Goodman
- License
- This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).
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