Rational SU(3)-equivariant cohomology theories
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866929706417258496 |
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| author | Greenlees, J. P. C. |
| author_facet | Greenlees, J. P. C. |
| contents | We describe the spectral space of conjugacy classes of subgroups of SU(3), together with the additional structure of a sheaf of rings and a component structure. It is a disjoint union of 18 blocks each dominated by a subgroup. For each of these blocks we identify a sheaf of rings and component structure. Taken together, this gives an abelian category A(SU(3)) designed to reflect the structure of rational SU(3)-equivariant cohomology theories, and we assemble the results from elsewhere to show that the category of rational SU(3)-spectra is Quillen equivalent to the category of differential graded objects of A(SU(3)). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_06017 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Rational SU(3)-equivariant cohomology theories Greenlees, J. P. C. Algebraic Topology 55P42, 55P91 We describe the spectral space of conjugacy classes of subgroups of SU(3), together with the additional structure of a sheaf of rings and a component structure. It is a disjoint union of 18 blocks each dominated by a subgroup. For each of these blocks we identify a sheaf of rings and component structure. Taken together, this gives an abelian category A(SU(3)) designed to reflect the structure of rational SU(3)-equivariant cohomology theories, and we assemble the results from elsewhere to show that the category of rational SU(3)-spectra is Quillen equivalent to the category of differential graded objects of A(SU(3)). |
| title | Rational SU(3)-equivariant cohomology theories |
| topic | Algebraic Topology 55P42, 55P91 |
| url | https://arxiv.org/abs/2502.06017 |