Frobenius Pairs and Atiyah Duality

Charles Rezk

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arXiv · 1303.3567

Frobenius Pairs and Atiyah Duality

Charles Rezk

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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.

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Charles Rezk. 2013-03-14. Frobenius Pairs and Atiyah Duality. https://arxiv.org/abs/1303.3567

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