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The ER(z)-cohomology of Bℤ/(2q) and ℂℙn

Published online by Cambridge University Press:  20 November 2018

Nitu Kitchloo ,
Vitaly Lorman  and
W. Stephen Wilson
Nitu Kitchloo
Affiliation:
Department of Mathematics, Johns Hopkins University, Baltimore, USA e-mail: nitu@math.jhu.edu, vlorman@math.jhu.edu, wsw@math.jhu.edu
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Abstract

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The $ER\left( 2 \right)$-cohomology of $B\mathbb{Z}/\left( {{2}^{q}} \right)$ and $\mathbb{C}{{\mathbb{P}}^{n}}$ are computed along with the Atiyah–Hirzebruch spectral sequence for $ER{{\left( 2 \right)}^{*}}\left( \mathbb{C}{{\mathbb{P}}^{\infty }} \right)$. This, along with other papers in this series, gives us the $ER\left( 2 \right)$-cohomology of all Eilenberg–MacLane spaces.

Keywords

55N2055N9155P2055T25complex projective spacecohomology theoryEilenberg–MacLane spaceAtiyah–Hirzebruch spectral sequence
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 70 , Issue 1 , 01 February 2018 , pp. 191 - 217
Copyright
Copyright © Canadian Mathematical Society 2018

References

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