Delzant-type classification of near-symplectic toric 4-manifolds
Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2005.
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| Format: | Thesis |
| Language: | eng |
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Massachusetts Institute of Technology
2006
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| Online Access: | http://hdl.handle.net/1721.1/33096 |
| _version_ | 1826203481609863168 |
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| author | Kaufman, Samuel, 1981- |
| author2 | Victor W. Guillemin. |
| author_facet | Victor W. Guillemin. Kaufman, Samuel, 1981- |
| author_sort | Kaufman, Samuel, 1981- |
| collection | MIT |
| description | Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2005. |
| first_indexed | 2024-09-23T12:38:04Z |
| format | Thesis |
| id | mit-1721.1/33096 |
| institution | Massachusetts Institute of Technology |
| language | eng |
| last_indexed | 2024-09-23T12:38:04Z |
| publishDate | 2006 |
| publisher | Massachusetts Institute of Technology |
| record_format | dspace |
| spelling | mit-1721.1/330962019-04-12T09:12:48Z Delzant-type classification of near-symplectic toric 4-manifolds Kaufman, Samuel, 1981- Victor W. Guillemin. Massachusetts Institute of Technology. Dept. of Mathematics. Massachusetts Institute of Technology. Dept. of Mathematics. Mathematics. Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2005. Includes bibliographical references (p. 65-66). Delzant's theorem for symplectic toric manifolds says that there is a one-to-one correspondence between certain convex polytopes in ... and symplectic toric 2n-manifolds, realized by the image of the moment map. I present proofs of this theorem and the convexity theorem of Atiyah-Guillemin-Sternberg on which it relies. Then, I describe Honda's results on the local structure of near-symplectic 4-manifolds, and inspired by recent work of Gay-Symington, I describe a generalization of Delzant's theorem to near-symplectic toric 4-manifolds. One interesting feature of the generalization is the failure of convexity, which I discuss in detail. by Samuel Kaufman. S.M. 2006-06-19T17:40:03Z 2006-06-19T17:40:03Z 2005 2005 Thesis http://hdl.handle.net/1721.1/33096 62219046 eng M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission. http://dspace.mit.edu/handle/1721.1/7582 66 p. 2622328 bytes 2624364 bytes application/pdf application/pdf application/pdf Massachusetts Institute of Technology |
| spellingShingle | Mathematics. Kaufman, Samuel, 1981- Delzant-type classification of near-symplectic toric 4-manifolds |
| title | Delzant-type classification of near-symplectic toric 4-manifolds |
| title_full | Delzant-type classification of near-symplectic toric 4-manifolds |
| title_fullStr | Delzant-type classification of near-symplectic toric 4-manifolds |
| title_full_unstemmed | Delzant-type classification of near-symplectic toric 4-manifolds |
| title_short | Delzant-type classification of near-symplectic toric 4-manifolds |
| title_sort | delzant type classification of near symplectic toric 4 manifolds |
| topic | Mathematics. |
| url | http://hdl.handle.net/1721.1/33096 |
| work_keys_str_mv | AT kaufmansamuel1981 delzanttypeclassificationofnearsymplectictoric4manifolds |