The connective Morava K-theory of the second mod p Eilenberg-MacLane space
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866918116853809152 |
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| author | Davis, Donald M. Ravenel, Douglas C. Wilson, W. Stephen |
| author_facet | Davis, Donald M. Ravenel, Douglas C. Wilson, W. Stephen |
| contents | We develop tools for computing the connective n-th Morava K-theory of spaces. Starting with a Universal Coefficient Theorem that computes the cohomology version from the homology version, we show that every step in the process of computing one is mirrored in the other and that this can be used to make computations. As our example, we compute the connective n-th Morava K-theory of the second mod p Eilenberg-MacLane space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_14035 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The connective Morava K-theory of the second mod p Eilenberg-MacLane space Davis, Donald M. Ravenel, Douglas C. Wilson, W. Stephen Algebraic Topology 55N20, 55N35, 55P20, 55P43, 55Q51, 55T15, 55U20 We develop tools for computing the connective n-th Morava K-theory of spaces. Starting with a Universal Coefficient Theorem that computes the cohomology version from the homology version, we show that every step in the process of computing one is mirrored in the other and that this can be used to make computations. As our example, we compute the connective n-th Morava K-theory of the second mod p Eilenberg-MacLane space. |
| title | The connective Morava K-theory of the second mod p Eilenberg-MacLane space |
| topic | Algebraic Topology 55N20, 55N35, 55P20, 55P43, 55Q51, 55T15, 55U20 |
| url | https://arxiv.org/abs/2206.14035 |