2026-09-20T13:47:25Zhttps://dspace.mit.edu/server/oai/requestoai:dspace.mit.edu:1721.1/824392022-01-13T07:54:04Zcom_1721.1_7582com_1721.1_7581col_1721.1_131022
Tomasz Mrowka.
Khandhawit, Tirasan
Massachusetts Institute of Technology. Department of Mathematics.
Massachusetts Institute of Technology. Department of Mathematics
2013-11-18T19:23:28Z
2013-11-18T19:23:28Z
2013
http://hdl.handle.net/1721.1/82439
862975051
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2013.
Cataloged from PDF version of thesis.
Includes bibliographical references (pages 123-125).
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 .
by Tirasan Khandhawit.
Ph.D.
125 pages
eng
Massachusetts Institute of Technology
M.I.T. theses are protected by
copyright. They may be viewed from this source for any purpose, but
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http://dspace.mit.edu/handle/1721.1/7582
Mathematics.
Twisted Manolescu-Floer spectra for Seiberg-Witten monopoles
Thesis
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