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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

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Showing 1 to 2 of 2 (0.024 seconds)

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1

Non-Isotopic Symplectic Surfaces in Products of Riemann Surfaces

Hays, Christopher January 2006 (has links)
<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>.
Mathematics
Symplectic Manifolds
Isotopy Problem
Branched Covers
2

Non-Isotopic Symplectic Surfaces in Products of Riemann Surfaces

Hays, Christopher January 2006 (has links)
<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>.
Mathematics
Symplectic Manifolds
Isotopy Problem
Branched Covers

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