Sphere fibrations over highly connected manifolds/ Alok Kr Ghosh
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TextPublication details: Kolkata: Indian Statistical Institute, 2024Description: viii, 85 pagesSubject(s): DDC classification: - 23rd 512.64 G411
- Guided by Prof. Samik Basu
| Item type | Current library | Call number | Status | Notes | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|---|
| THESIS | ISI Library, Kolkata | 512.64 G411 (Browse shelf(Opens below)) | Available | E-Thesis. Guided by Prof. Samik Basu | TH612 |
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| 512.62 T929 Monoidal categories and topological field theory / | 512.6202855133 B595 Analysis of categorical data with R/ | 512.6202855133 B595 Analysis of categorical data with R/ | 512.64 G411 Sphere fibrations over highly connected manifolds/ | 512.64 H123 Infinity properads and infinity wheeled properads / | 512.64 M321 Homological algebra : | 512.64 Os81 Basic homological algebra |
Thesis (Ph.D) - Indian Statistical Institute, 2024
Includes bibliography and index
Introduction -- Constructing maps between loop space homology algebras -- Construction of Sphere fibrations -- Sphere fibrations in low dimensional cases -- SU(2)-bundles over highly connected 8-manifolds --
Guided by Prof. Samik Basu
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.
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