Equivariant homology decompositions for cyclic group actions on definite 4-manifolds
Article Type
Research Article
Publication Title
New York Journal of Mathematics
Abstract
In this paper, we study the equivariant homotopy type of a connected sum of linear actions on complex projective planes defined by Ham-bleton 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 split-ting on equivariant homology for general cyclic groups under a divisibility hypothesis, and in all cases for those of prime power order.
First Page
1554
Last Page
1580
Publication Date
1-1-2022
Recommended Citation
Basu, Samik; Dey, Pinka; and Karmakar, Aparajita, "Equivariant homology decompositions for cyclic group actions on definite 4-manifolds" (2022). Journal Articles. 3297.
https://digitalcommons.isical.ac.in/journal-articles/3297