1 citations · 1 across the 5 of their papers we have counts for
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Equivariant homology decompositions for cyclic group actions on definite 4-manifolds
Samik Basu, Pinka Dey, Aparajita Karmakar
In this paper, we study the equivariant homotopy type of a connected sum of linear actions on complex projective planes defined by Hambleton and Tanase. These actions are construct…
BP-cohomology of projective Stiefel manifolds
Samik Basu, Debanil Dasgupta
In this paper, we compute the BP-cohomology of complex projective Stiefel manifolds. The method involves the homotopy fixed point spectral sequence, and works for complex oriented…
Non-trivial extensions in equivariant cohomology with constant coefficients
Samik Basu, Surojit Ghosh
In this paper, we prove some computational results about equivariant cohomology over the cyclic group of prime power order. We show that there is an inductive formula whe…
Bredon cohomology of finite dimensional -spaces
Samik Basu, Surojit Ghosh
For finite dimensional free -spaces, the calculation of the Bredon cohomology ring as an algebra over the cohomology of is used to prove the non-existence of certain $C_…
The homotopy type of the loops on -connected -manifolds
Samik Basu
For we compute the homotopy groups of -connected closed manifolds of dimension . Away from the finite set of primes dividing the order of the torsion subgr…
Note on Toda brackets
Samik Basu, David Blanc, Debasis Sen
We provide a general definition of Toda brackets in a pointed model categories, show how they serve as obstructions to rectification, and explain their relation to the classical st…