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math.AT2021
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…
math.AT2021
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…
math.AT2021
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…