6 votes

Why should we study the total complex?

Chain complexes arise from simplicial abelian groups via the Dold–Kan correspondence: the normalized chain complex functor establishes an equivalence of categories from simplicial abelian groups to (...
Dmitri Pavlov's user avatar
5 votes

When is a (co)edge trivial in graph cohomology?

Sam Hopkins's suggestion is right, $e^{\vee}$ is trivial if and only if $e$ is a bridge. (I'm assuming that you are taking $e^{\vee}$ to be an element in the simplicial cochain complex, so ...
Phil Tosteson's user avatar

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