Corpus ID: 222341507

Hypercurrents

@inproceedings{Catanzaro2020Hypercurrents,
  title={Hypercurrents},
  author={Michael J. Catanzaro and V. Chernyak and J. R. Klein},
  year={2020}
}
We introduce the notion of a protocol, which consists of a space whose points are labeled by real numbers indexed by the set of cells of a fixed CW complex in prescribed degrees, where the labels are required to vary continuously. If the space is a onedimensional manifold, then a protocol determines a continuous time Markov chain. When a homological gap condition is present, we associate to each protocol a ‘characteristic’ cohomology class which we call the hypercurrent. The hypercurrent comes… Expand

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