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$RO(C_2)$-graded Cohomology of $C_2$-equivariant Eilenberg-Mac Lane spaces

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arxiv 2301.04714 v1 pith:YDAMUEAA submitted 2023-01-11 math.AT

UĞur Yiğit This is my paper · ORCID
classification math.AT
keywords equivariantadamscohomologyeilenberg-macgradedlanespacesalgebra
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abstract

In this paper, we calculate $RO(C_2)$-graded cohomology of $C_2$-equivariant Eilenberg-Mac Lane spaces $K(\underline{Z/2}, n+\sigma)$ for $n\geq 0$. These can be used to give the relation between equivariant lambda algebra and equivariant Adams resolution and equivariant unstable Adams spectral sequence, which are defined in author`s dissertation.

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  1. Parametrized $\underline{\mathbb{F}}_2$-Cohomology of $B_{C_2}O(1)$

    math.AT 2026-07 conditional novelty 7.0 of 10

    The RO(ΠP)-graded F2-cohomology of P=B_{C2}O(1) is the explicit ring M2[u10,u11,a10,a11,e,ν] with u10u11=ue, a10u11+a11u10=ae, e2=ν2=1.

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