Nishida Relations in Bordism and Homology (extended abstract)

Terrence Bisson; André Joyal

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arXiv · 2505.03943

Nishida Relations in Bordism and Homology (extended abstract)

Terrence Bisson·André Joyal

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Abstract

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].

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Terrence Bisson, André Joyal. 2025-05-06. Nishida Relations in Bordism and Homology (extended abstract). https://arxiv.org/abs/2505.03943

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