TY  - BOOK
AU  - Ghosh,Aloke Kr
TI  - Sphere fibrations over highly connected manifolds
U1  - 512.64 23rd
PY  - 2024///
CY  - Kolkata
PB  - Indian Statistical Institute
KW  - Homotopy Groups
KW  - Sphere Fibrations
KW  - Quadratic Associative Algebra
KW  - Loop Spaces
N1  - 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
N2  - 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
UR  - http://dspace.isical.ac.in:8080/jspui/handle/10263/7474
ER  -