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dc.contributor.authorHays, Christopheren
dc.date.accessioned2007-05-08 14:00:36 (GMT)
dc.date.available2007-05-08 14:00:36 (GMT)
dc.date.issued2006en
dc.date.submitted2006en
dc.identifier.urihttp://hdl.handle.net/10012/2917
dc.description.abstract<html> <head> <meta http-equiv="Content-Type" content="text/html;charset=iso-8859-1"> </head> Let &Sigma;<em><sub>g</sub></em> be a closed Riemann surface of genus <em>g</em>. Generalizing Ivan Smith's construction, for each <em>g</em> &ge; 1 and <em>h</em> &ge; 0 we construct an infinite set of infinite families of homotopic but pairwise non-isotopic symplectic surfaces inside the product symplectic manifold &Sigma;<em><sub>g</sub></em> ×&Sigma;<em><sub>h</sub></em>. In particular, we achieve all positive genera from these families, providing first examples of infinite families of homotopic but pairwise non-isotopic symplectic surfaces of even genera inside &Sigma;<em><sub>g</sub></em> ×&Sigma;<em><sub>h</sub></em>.en
dc.formatapplication/pdfen
dc.format.extent633210 bytes
dc.format.mimetypeapplication/pdf
dc.language.isoenen
dc.publisherUniversity of Waterlooen
dc.rightsCopyright: 2006, Hays, Christopher. All rights reserved.en
dc.subjectMathematicsen
dc.subjectSymplectic Manifoldsen
dc.subjectIsotopy Problemen
dc.subjectBranched Coversen
dc.titleNon-Isotopic Symplectic Surfaces in Products of Riemann Surfacesen
dc.typeMaster Thesisen
dc.pendingfalseen
uws-etd.degree.departmentPure Mathematicsen
uws-etd.degreeMaster of Mathematicsen
uws.typeOfResourceTexten
uws.peerReviewStatusUnrevieweden
uws.scholarLevelGraduateen


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