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Delzant-type classification of near-symplectic toric 4-manifolds

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dc.contributor.advisor Victor W. Guillemin. en_US Kaufman, Samuel, 1981- en_US
dc.contributor.other Massachusetts Institute of Technology. Dept. of Mathematics. en_US 2006-06-19T17:40:03Z 2006-06-19T17:40:03Z 2005 en_US 2005 en_US
dc.description Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2005. en_US
dc.description Includes bibliographical references (p. 65-66). en_US
dc.description.abstract 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. en_US
dc.description.statementofresponsibility by Samuel Kaufman. en_US
dc.format.extent 66 p. en_US
dc.format.extent 2622328 bytes
dc.format.extent 2624364 bytes
dc.format.mimetype application/pdf
dc.format.mimetype application/pdf
dc.language.iso eng en_US
dc.publisher Massachusetts Institute of Technology en_US
dc.rights 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. en_US
dc.subject Mathematics. en_US
dc.title Delzant-type classification of near-symplectic toric 4-manifolds en_US
dc.type Thesis en_US S.M. en_US
dc.contributor.department Massachusetts Institute of Technology. Dept. of Mathematics. en_US
dc.identifier.oclc 62219046 en_US

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