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Title: | Sphere fibrations over highly connected manifolds |
Authors: | Ghosh, Aloke Kr |
Keywords: | Homotopy groups Sphere fibrations Quadratic Associative Algebra Loop spaces |
Issue Date: | Oct-2024 |
Publisher: | Indian Statistical Institute, Kolkata |
Citation: | 97p. |
Series/Report no.: | ISI Ph. D Thesis;TH |
Abstract: | This thesis analyzes the construction of the sphere fibrations over (n − 1)-connected 2n-manifolds for an even integer n such that the total space is a connected sum of sphere products, in a localized category of spaces. Integral results are obtained for n=2, 4. In the second part of the talk, we will discuss that for n=4, wheather these bundles can be realised as a principal SU(2)-bundle and the possible homotopy types of the total space of such a principal SU(2)-bundle. Along the way, we will discuss the homotopy classification of certain 3-connected 11-dimensional complexes with torsion free homology. |
URI: | http://hdl.handle.net/10263/7474 |
Appears in Collections: | Theses |
Files in This Item:
File | Description | Size | Format | |
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Thesis -Aloke kr Ghosh-12-11-24 (2).pdf | Thesis | 830.94 kB | Adobe PDF | View/Open |
form 17-Aloke kr Ghosh-12-11-24 (1).pdf | Form 17 | 355.4 kB | Adobe PDF | View/Open |
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