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math.AT2015
Realizing congruence subgroups inside the diffeomorphism group of a product of homotopy spheres
Somnath Basu, Thomas Farrell
Let M be a smooth manifold which is homeomorphic to the n-fold product of S^k, where k is odd. There is an induced homomorphism from the group of diffeomorphisms of M to the automo…
math.AT2015
Homotopy groups of highly connected manifolds
Samik Basu, Somnath Basu
In this paper we give a formula for the homotopy groups of -connected -manifolds as a direct sum of homotopy groups of spheres in the case the Betti number is l…