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The $ER(2)$-cohomology of $B\mathbb{Z}/(2^q)$ and $\mathbb{C} \mathbb{P}^n$

  • Nitu Kitchloo,
    Department of Mathematics, Johns Hopkins University, Baltimore, USA
  • Vitaly Lorman,
    Department of Mathematics, Johns Hopkins University, Baltimore, USA
  • W. Stephen Wilson,
    Department of Mathematics, Johns Hopkins University, Baltimore, USA
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Abstract

The $ER(2)$-cohomology of $B\mathbb{Z}/(2^q)$ and $\mathbb{C}\mathbb{P}^n$ are computed along with the Atiyah-Hirzebruch spectral sequence for $ER(2)^*(\mathbb{C}\mathbb{P}^\infty)$. This, along with other papers in this series, gives us the $ER(2)$-cohomology of all Eilenberg-MacLane spaces.
Keywords: complex projective space, cohomology theory, Eilenberg-MacLane space, Atiyah-Hirzebruch spectral sequence complex projective space, cohomology theory, Eilenberg-MacLane space, Atiyah-Hirzebruch spectral sequence
MSC Classifications: 55N20, 55N91, 55P20, 55T25 show english descriptions Generalized (extraordinary) homology and cohomology theories
Equivariant homology and cohomology [See also 19L47]
Eilenberg-Mac Lane spaces
Generalized cohomology
55N20 - Generalized (extraordinary) homology and cohomology theories
55N91 - Equivariant homology and cohomology [See also 19L47]
55P20 - Eilenberg-Mac Lane spaces
55T25 - Generalized cohomology
 

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