Twisted Manolescu-Floer spectra for Seiberg-Witten monopoles
Name
862975051-MIT.pdf
Description
Full printable version
Size
4.8 MB
Format
Adobe PDF
Checksum (MD5)
f7f4439f1600547395f34bfc7bb27f3e
Author(s)
Khandhawit, Tirasan
Advisor(s)
Tomasz Mrowka.
Date Issued
2013
Publisher
Massachusetts Institute of Technology
Abstract
In this thesis, we extend Manolescus and Kronheimer-Manolescus construction of Floer homotopy type to general 3-manifolds. This Floer homotopy type is a candidate for an object whose suitable homology groups recover Floer homology. The main idea is to apply finite dimensional approximation technique and Conley index theory to Seiberg-Witten theory of 3-manifolds. Another part of the construction involves a concept of twisted parametrized spectra introduced by Douglas. We also provide explicit computation for the manifolds S 1 x S 2 and T 3 .
Description
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2013.
Cataloged from PDF version of thesis.
Includes bibliographical references (pages 123-125).
Subjects
Mathematics.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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