Smooth Structures on Complex Projective Spaces
Dr. Ramesh Kasilingam
Indian Statistical Institute, Bangalore
| Speaker |
Dr. Ramesh Kasilingam
Indian Statistical Institute, Bangalore
|
|---|---|
| When |
Apr 24, 2018
from 04:00 PM to 05:00 PM |
| Where | LH 006 |
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Abstract: A smooth manifold homeomorphic to the standard sphere m-sphere is known as a smooth homotopy m-sphere. The existence of smooth homotopy m-spheres was studied in the amazing work of Kervaire and Milnor. The set of diffeomorphism classes of smooth homotopy m-spheres m (m > 4) forms a group under the operation of connected sum and is related to computations in stable homotopy theory. Using these computations, we determine the number of smooth structures on the n-dimensional complex projective space for n < 9 (up to > isotopy, more precisely, concordance).