The period isomorphism in tame geometry
- Resource Type
- Working Paper
- Authors
- Huber, Annette
- Source
- Subject
- Mathematics - Number Theory
Mathematics - Algebraic Geometry
Mathematics - Logic
14P10, 03C64, 58A10
- Language
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.
Comment: 22 pages