Nishida Relations in Bordism and Homology (extended abstract)
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866918012115746816 |
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| author | Bisson, Terrence Joyal, André |
| author_facet | Bisson, Terrence Joyal, André |
| contents | This is the second of a series of Compte Rendus. In the first [1] we have presented a theory of Dyer-Lashof operations in unoriented bordism. Here we shall discuss the (Nishida) relations between Dyer-Lashof and Landweber-Novikov operations. They are used to represent the algebra $N_*Σ$ of covering manifolds in terms of their homology characteristic numbers. The proofs are based on the properties of the covering space operations and the notions of D-ring and Q-ring introduced in [1]. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2505_03943 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Nishida Relations in Bordism and Homology (extended abstract) Bisson, Terrence Joyal, André Algebraic Topology 55N22 (Primary) This is the second of a series of Compte Rendus. In the first [1] we have presented a theory of Dyer-Lashof operations in unoriented bordism. Here we shall discuss the (Nishida) relations between Dyer-Lashof and Landweber-Novikov operations. They are used to represent the algebra $N_*Σ$ of covering manifolds in terms of their homology characteristic numbers. The proofs are based on the properties of the covering space operations and the notions of D-ring and Q-ring introduced in [1]. |
| title | Nishida Relations in Bordism and Homology (extended abstract) |
| topic | Algebraic Topology 55N22 (Primary) |
| url | https://arxiv.org/abs/2505.03943 |