Nishida Relations in Bordism and Homology (extended abstract)
Algebraic Topology
2025-05-08 v1
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 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].
Keywords
Cite
@article{arxiv.2505.03943,
title = {Nishida Relations in Bordism and Homology (extended abstract)},
author = {Terrence Bisson and André Joyal},
journal= {arXiv preprint arXiv:2505.03943},
year = {2025}
}
Comments
6 pages, preprint of 1995 publication, unchanged. [1] refers to our compte rendu, The Dyer-Lashof algebra in bordism, also on arXiv