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)