13 citations · 50 across the 15 of their papers we have counts for
7 papers · 1 filter
On the generalized brace product: relation to -splitting of loop space fibrations \& the -homomorphism
Somnath Basu, Aritra Bhowmick, Sandip Samanta
Given a fibration with a homotopy section , James introduced a binary product $\left\{, \right\}_s: π_i B \times π_j F \righ…
On the cohomology ring and upper characteristic rank of Grassmannian of oriented -planes
Somnath Basu, Prateep Chakraborty
In this paper we study the mod cohomology ring of the Grasmannian of oriented -planes in . We determine the degrees of the indecomposable…
Homotopy groups of certain highly connected manifolds via loop space homology
Samik Basu, Somnath Basu
For we consider -connected closed manifolds of dimension at most . We prove that away from a finite set of primes, the -local homotopy groups of are…
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…
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…
Homotopy groups and periodic geodesics of closed 4-manifolds
Samik Basu, Somnath Basu
Given a simply connected, closed four manifold, we associate to it a simply connected, closed, spin five manifold. This leads to several consequences : the stable and unstable homo…
Of Sullivan models, Massey products, and twisted Pontrjagin products
Somnath Basu
Associated to every connected, topological space there is a Hopf algebra - the Pontrjagin ring of the based loop space of the configuration space of two points in X. We prove t…