Cellularity of Chromatic Synthetic Spectra
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866910926301560832 |
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| author | Barkan, Shaul van Nigtevecht, Sven |
| author_facet | Barkan, Shaul van Nigtevecht, Sven |
| contents | We show that the $\infty$-category of synthetic spectra based on Morava E-theory is generated by the bigraded spheres and identify it with the $\infty$-category of modules over a filtered ring spectrum. The latter we show using a general method for constructing filtered deformations from t-structures on symmetric monoidal stable $\infty$-categories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_01086 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Cellularity of Chromatic Synthetic Spectra Barkan, Shaul van Nigtevecht, Sven Algebraic Topology We show that the $\infty$-category of synthetic spectra based on Morava E-theory is generated by the bigraded spheres and identify it with the $\infty$-category of modules over a filtered ring spectrum. The latter we show using a general method for constructing filtered deformations from t-structures on symmetric monoidal stable $\infty$-categories. |
| title | Cellularity of Chromatic Synthetic Spectra |
| topic | Algebraic Topology |
| url | https://arxiv.org/abs/2505.01086 |