Frobenius Pairs and Atiyah Duality
Algebraic Topology
2013-03-15 v1
Abstract
We define a notion of "Frobenius pair", which is a mild generalization of the notion of Frobenius object in a monoidal category. We then show that Atiyah duality for smooth manifolds can be encapsulated in the statement that a certain collection of structure obtained from a manifold forms a commutative Frobenius pair in the stable homotopy category of spectra.
Keywords
Cite
@article{arxiv.1303.3567,
title = {Frobenius Pairs and Atiyah Duality},
author = {Charles Rezk},
journal= {arXiv preprint arXiv:1303.3567},
year = {2013}
}