| * Venue | E C G Sudarshan Hall |
| * Speaker | Ankur Sarkar |
| * Title | Exotic Smooth Structures on Certain Product Spaces (Pre-Synopsis Talk) |
| Affiliation | IMSc |
| Abstract | The study of exotic smooth structures on manifolds is a fundamental problem in differential topology. In particular, the classification of smooth structures on a given smooth manifold is closely related to the concordance inertia group, a subgroup of the group of homotopy spheres. In this talk, I will compute the concordance inertia group of the product of a closed, oriented, smooth 4-manifold with a k-sphere, where k ranges from 1 to 10, using the stable homotopy type of the 4-manifold and known computations of the stable homotopy groups of spheres. These results lead us to a classification, up to concordance, of all smooth manifolds that are homeomorphic to such products. As an application, I will present a complete diffeomorphism classification of smooth manifolds that are homeomorphic to the product of the complex projective plane with a standard sphere of dimension 4, 5, or 6. |
| * Announcement? | Public |
| * Refreshments? | None |
| * Honorarium? | None |
| Special Arrangements? | None |
| * Host name and email | K N Raghavan @@ knr@imsc.res.in |