Corpus ID: 237940243

Equivariant homology decompositions for cyclic group actions on definite 4-manifolds

  title={Equivariant homology decompositions for cyclic group actions on definite 4-manifolds},
  author={Samik Basu and Pinka Dey and 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 constructed for cyclic groups of odd order. We construct cellular filtrations on the connected sum using spheres inside unitary representations. A judicious choice of filtration implies a splitting on equivariant homology for general cyclic groups under a divisibility hypothesis, and in all cases for those of prime power order… 


Non-trivial extensions in equivariant cohomology with constant coefficients
  • Samik Basu, Surojit Ghosh
  • Mathematics
  • 2021
In this paper, we prove some computational results about equivariant cohomology over the cyclic group Cpn of prime power order. We show that there is an inductive formula when the dimension of the
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