English

An effective proof of the Cartan formula: Odd primes

Algebraic Topology 2023-05-17 v1

Abstract

The Cartan formula relates the cup product and the action of the Steenrod algebra on mod~pp cohomology. For any pair of mod pp cocycles in a simplicial set, where pp is an odd prime, we effectively construct a natural coboundary descending to this formula in cohomology.

Keywords

Cite

@article{arxiv.2305.08973,
  title  = {An effective proof of the Cartan formula: Odd primes},
  author = {Federico Cantero-Morán and Anibal Medina-Mardones},
  journal= {arXiv preprint arXiv:2305.08973},
  year   = {2023}
}