The $RO(C_4)$ integral homology of a point

arXiv1912.06758MaRDI QIDQ6331087

Publication date: 13 December 2019

Abstract: We compute the

R O (C_{4})

integral homology of a point with complete information as a Green functor, and we show that it is generated, in a slightly generalized sense, by the Euler and orientation classes of the irreducible real

C_{4}

-representations. We have devised a computer program that automates these computations for groups

G = C_{p^{n}}

and we have used it to verify our results for

G = C_{4}

in a finite range.

Mathematics Subject Classification ID

Equivariant homology and cohomology in algebraic topology (55N91) Equivariant homotopy theory in algebraic topology (55P91)

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