论文标题

Graph de rham同胞和汽车组

Graph de Rham Cohomology and the Automorphsim Group

论文作者

Contreras, Ivan, Rosevear, Andrew

论文摘要

我们在有限图$γ$的离散DE RHAM共同体中介绍了诱导的aut $(γ)$(γ)的动作的图理论解释。此操作产生了aut $(γ)$的分裂,取决于$γ$的周期。我们还证明了标准几何形状的标准结果的某些图理论类似物,特别是Stokes定理的图形和Mayer-Vietoris序列。

We introduce a graph-theoretical interpretation of an induced action of Aut$(Γ)$ in the discrete de Rham cohomology of a finite graph $Γ$. This action produces a splitting of Aut$(Γ)$ that depends on the cycles of $Γ$. We also prove some graph-theoretical analogues of standard results in differential geometry, in particular, a graph version of Stokes' Theorem and the Mayer-Vietoris sequence in cohomology.

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