location:  Publications → journals → CJM
Abstract view

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

Published:2017-06-07

• 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
 Format: LaTeX MathJax PDF

## 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
 MSC Classifications: 55N20 - Generalized (extraordinary) homology and cohomology theories 55N91 - Equivariant homology and cohomology [See also 19L47] 55P20 - Eilenberg-Mac Lane spaces 55T25 - Generalized cohomology

 top of page | contact us | privacy | site map |