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| Main Authors: | , , , , , , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.02669 |
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| _version_ | 1866909596011986944 |
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| author | Bobkova, Irina Carlisle, Jack Fitz, Emmett Ji, Mattie Kilway, Peter Kim, Hillary O'Neal, Kolton Schuckman, Jacob Tilton, Scotty |
| author_facet | Bobkova, Irina Carlisle, Jack Fitz, Emmett Ji, Mattie Kilway, Peter Kim, Hillary O'Neal, Kolton Schuckman, Jacob Tilton, Scotty |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_02669 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The $\operatorname{E}_2^{hC_6}$-homology of $\mathbb{R}P^2$ and $\mathbb{R}P^2 \wedge \mathbb{C}P^2$ Bobkova, Irina Carlisle, Jack Fitz, Emmett Ji, Mattie Kilway, Peter Kim, Hillary O'Neal, Kolton Schuckman, Jacob Tilton, Scotty Algebraic Topology 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. |
| title | The $\operatorname{E}_2^{hC_6}$-homology of $\mathbb{R}P^2$ and $\mathbb{R}P^2 \wedge \mathbb{C}P^2$ |
| topic | Algebraic Topology |
| url | https://arxiv.org/abs/2412.02669 |