Twisted Manolescu-Floer spectra for Seiberg-Witten monopoles
| Autor: | Khandhawit, Tirasan |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2013 |
| Předmět: | |
| Druh dokumentu: | Diplomová práce |
| Popis: | 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. |
| Databáze: | Networked Digital Library of Theses & Dissertations |
| Externí odkaz: |
|