what do cocycles look like

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Assume a finite simplicial complex with a chain group defined on the basis of simplices.

a cocycle $\bar{c}$ is defined as a cochain s.t. $\delta(\bar{c})$ = 0 where $\delta$ is the transpose of the boundary matrix $\partial$

cycles are defined as chains c s.t. $\partial(c)$= 0.

cycles have a nice geometric interpretation in simplicial homology: in 1 dimension the boundary of a polygon forms a cycle.

what about cocycles? do they have a nice geometric interpretation? (just a special case would be enough)