Abstract/Details

Twisted Manolescu-Floer Spectra for Seiberg-Witten Monopoles

Khandhawit, Tirasan. 
 Massachusetts Institute of Technology ProQuest Dissertations Publishing,  2013. 0829500.

Abstract (summary)

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 S1 × S2 and T3. (Copies available exclusively from MIT Libraries, libraries.mit.edu/docs - [email protected])

Indexing (details)


Subject
Mathematics
Classification
0405: Mathematics
Identifier / keyword
Pure sciences
Title
Twisted Manolescu-Floer Spectra for Seiberg-Witten Monopoles
Author
Khandhawit, Tirasan
Number of pages
0
Degree date
2013
School code
0753
Source
DAI-B 75/03(E), Dissertation Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
Advisor
Mrowka, Tomasz
University/institution
Massachusetts Institute of Technology
University location
United States -- Massachusetts
Degree
Ph.D.
Source type
Dissertation or Thesis
Language
English
Document type
Dissertation/Thesis
Dissertation/thesis number
0829500
ProQuest document ID
1470984943
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Document URL
https://www.proquest.com/docview/1470984943