The Seiberg-Witten equations on a surface times a circle
Name
681956093-MIT.pdf
Description
Full printable version
Size
2.14 MB
Format
Adobe PDF
Checksum (MD5)
f059d3094be4ca4da4937ce8dacdfd24
Author(s)
Lopes, William Manuel
Advisor(s)
Tomasz S. Mrowka.
Date Issued
2010
Publisher
Massachusetts Institute of Technology
Abstract
In this thesis I study the Seiberg-Witten equations on the product of a genus g surface [Sigma] and a circle. I exploit S1 invariance to reduce to the vortex equations on [Sigma] and thus completely describe the Seiberg-Witten monopoles. In the case where the monopoles are not Morse-Bott regular, I explicitly perturb the equations to obtain such a situation and thus find a candidate for the chain complex that calculates the Seiberg-Witten Floer homology groups.
Description
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2010.
Cataloged from PDF version of thesis.
Includes bibliographical references (p. 63).
Subjects
Mathematics.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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