Tautological Rings of Fibrations
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arXiv
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| Format: | Preprint |
| Published: |
2019
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| _version_ | 1866915979718557696 |
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| author | Prigge, Nils |
| author_facet | Prigge, Nils |
| contents | We study the analogue of tautological rings of fibre bundles in the context of fibrations with Poincar\' e fibre, i.e. the ring obtained by fibre integrating powers of the fibrewise Euler class. We discuss how to compute the Euler ring with tools from rational homotopy theory and completely determine the tautological ring for even spheres, complex projective spaces and some products of odd spheres. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1905_02676 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Tautological Rings of Fibrations Prigge, Nils Algebraic Topology 55R40 We study the analogue of tautological rings of fibre bundles in the context of fibrations with Poincar\' e fibre, i.e. the ring obtained by fibre integrating powers of the fibrewise Euler class. We discuss how to compute the Euler ring with tools from rational homotopy theory and completely determine the tautological ring for even spheres, complex projective spaces and some products of odd spheres. |
| title | Tautological Rings of Fibrations |
| topic | Algebraic Topology 55R40 |
| url | https://arxiv.org/abs/1905.02676 |