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arXiv · 1509.02101

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

Vitaly Lorman
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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 $ER(n)^*(\mathbb{C}P^\infty)$

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Vitaly Lorman. 2015-09-07. The Real Johnson-Wilson Cohomology of $\mathbb{C}P^\infty$. https://arxiv.org/abs/1509.02101

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