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arXiv · 2412.02669

The $\operatorname{E}_2^{hC_6}$-homology of $\mathbb{R}P^2$ and $\mathbb{R}P^2 \wedge \mathbb{C}P^2$

Irina Bobkova·Jack Carlisle·Emmett Fitz·Mattie Ji·Peter Kilway·Hillary Kim·Kolton O'Neal·Jacob Schuckman·Scotty Tilton
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Abstract

Let $\operatorname{E}_2$ be the Morava E-theory of height 2 at the prime 2. In this paper, we compute the homotopy groups of $\operatorname{E}_2^{hC_6} \wedge \mathbb{R}P^2$ and $\operatorname{E}_2^{hC_6} \wedge \mathbb{R}P^2 \wedge \mathbb{C}P^2$ using the homotopy fixed point spectral sequences.

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Irina Bobkova, Jack Carlisle, Emmett Fitz, Mattie Ji, Peter Kilway, Hillary Kim, Kolton O'Neal, Jacob Schuckman, Scotty Tilton. 2024-12-03. The $\operatorname{E}_2^{hC_6}$-homology of $\mathbb{R}P^2$ and $\mathbb{R}P^2 \wedge \mathbb{C}P^2$. https://arxiv.org/abs/2412.02669

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