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arxiv: 1509.02101 · v3 · pith:TJQRVBTCnew · submitted 2015-09-07 · 🧮 math.AT

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

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keywords inftymathbbcohomologyjohnson-wilsonrealapplyingbocksteincompletely
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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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