The period isomorphism in tame geometry

Annette Huber

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arXiv · 2204.01402

The period isomorphism in tame geometry

Annette Huber

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Abstract

We describe singular homology of a manifold $X$ via simplices $\sigma:\Delta_d\to X$ that satisfy Stokes' formula with respect to all differential forms. The notion is geared to the case of tame geometry (definable manifolds with respect to an o-minimal structure), where it gives a description of the period pairing with de Rham cohomology via definable $\sigma$'s.

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Annette Huber. 2022-04-04. The period isomorphism in tame geometry. https://arxiv.org/abs/2204.01402

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