Corpus ID: 237940243

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

@inproceedings{Basu2021EquivariantHD,
  title={Equivariant homology decompositions for cyclic group actions on definite 4-manifolds},
  author={Samik Basu and Pinka Dey and Aparajita Karmakar},
  year={2021}
}
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… 

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PERMUTATIONS
Permutations of finite sets play a central role in algebraic and enumerative combinatorics. In addition to having many interesting enumerative properties per se, permutations also arise in almost
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