2026-09-20T11:33:14Zhttps://dspace.mit.edu/server/oai/requestoai:dspace.mit.edu:1721.1/330962022-01-13T07:54:35Zcom_1721.1_7582com_1721.1_7581col_1721.1_131023
Victor W. Guillemin.
Kaufman, Samuel, 1981-
Massachusetts Institute of Technology. Dept. of Mathematics.
Massachusetts Institute of Technology. Department of Mathematics
2006-06-19T17:40:03Z
2006-06-19T17:40:03Z
2005
2005
http://hdl.handle.net/1721.1/33096
62219046
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.
66 p.
2622328 bytes
2624364 bytes
application/pdf
application/pdf
eng
Massachusetts Institute of Technology
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http://dspace.mit.edu/handle/1721.1/7582
Mathematics.
Delzant-type classification of near-symplectic toric 4-manifolds
Thesis
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