Samik Basu
Indian Statistical Institute
36 Papers
75 Citations
Samik Basu is an academic researcher from Indian Statistical Institute. The author has contributed to research in topics: Cohomology & Homotopy. The author has an hindex of 5, co-authored 36 publications.
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Papers
Homotopy groups of highly connected manifolds
Samik Basu,Somnath Basu +1 more
TL;DR: In this article, the homotopy groups of (n − 1 ) -connected 2n-manifolds were shown to have a direct sum of the homoton of spheres in the case the n th Betti number is larger than 1.
18
Homotopy groups and periodic geodesics of closed 4-manifolds
Samik Basu,Somnath Basu +1 more
TL;DR: In this article, the stable and unstable homotopy groups of a simply connected, closed four manifold are determined by its second Betti number, and the ranks of the ranks can be explicitly calculated.
16
Homotopy groups and periodic geodesics of closed 4-manifolds
Samik Basu,Somnath Basu +1 more
TL;DR: For a simply connected, closed 4-manifold manifold with second Betti number at most three, the number of geometrically distinct periodic geodesics grows exponentially as a function of l as mentioned in this paper.
13
Note on Toda brackets
TL;DR: In this article, a general definition of Toda brackets in a pointed model category is provided, and they serve as obstructions to rectification, and explain their relation to the classical stable operations.
10
The Homotopy Type of the Loops on \((n-1)\)-Connected \((2n+1)\)-Manifolds
TL;DR: In this paper, the rank of the free Abelian part of the homology has been used to determine the p-local homotopy groups of M-connected closed manifolds of dimension 2n+1.
9