The Real Johnson-Wilson Cohomology of $\mathbb{C}{P}^{\infty }$

Abstract

We completely compute the Real Johnson-Wilson cohomology of $\mathbb{C}{P}^{\infty }$. Applying techniques from equivariant stable homotopy theory to the Bockstein spectral sequence, we produce permanent cycles and solve extension problems to give an explicit description of the ring $ER(n{)}^{\ast }(\mathbb{C}{P}^{\infty })$

22 pages, comments welcome. Version 3: minor changes to introduction

References in corpus (2)

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

Cited by in corpus (1)

• Landweber flat real pairs and ER(n)-cohomology