Browsing by Author "Ghosh, Aloke Kr"

Filter results by typing the first few letters
Now showing 1 - 1 of 1
  • No Thumbnail Available
    Item
    Sphere fibrations over highly connected manifolds
    (Indian Statistical Institute, Kolkata, 2024-10) Ghosh, Aloke Kr
    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.