In this talk, we will first define characteristic rank of a connected closed smooth manifold and upper characteristic rank of a finite connected CW complex. Then we will give the full description of upper characteristic ranks of Stiefel manifolds. Generalizing this concept, we can investigate which non-zero cohomology classes can occur as Stiefel-Whitney classes of some vector bundle over a given CW complex. We will state two theorems in an attempt to answer this question for real Stiefel manifolds.
Date and Time : 03-04-2017 11:30
Venue : Seminar Hall, 219 @ CET
Speaker : Prateep Chakraborty, IMSc