Submission date: 4 April 2022

Abstract:

We describe singular homology of a manifold X via simplices σ : Δ_d → 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 σ's.

Mathematics Subject Classification: 14P10, 03C64, 58A10

Keywords and phrases:

Full text arXiv 2204.01402: pdf, ps.