论文标题
驯服几何形状的同构时期
The period isomorphism in tame geometry
论文作者
论文摘要
我们描述了流形$ x $的单数同源物 $σ：δ_d\ to x $满足Stokes公式相对于所有差分形式。该概念适用于驯服的几何形状（相对于O-Wimimal结构的可定义歧管），在其中通过可定义的$σ$'s列出了与De Rham同胞配对的描述。
We describe singular homology of a manifold $X$ via simplices $σ:Δ_d\to X$ 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 $σ$'s.
