On a cohomology theory of digraphs and Hochschild cohomology

Alexander Grigoryan Yuri Muranov Shing-Tung Yau

Algebraic Topology and General Topology mathscidoc:1912.43713

2016.6
We construct a cohomology theory of transitive digraphs and use it to give a new proof of a theorem of Gerstenhaber and Schack about isomorphism between simplicial cohomology and Hochschild cohomology of a certain algebra associated with the simplicial complex.
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@inproceedings{alexander2016on,
  title={On a cohomology theory of digraphs and Hochschild cohomology},
  author={Alexander Grigoryan, Yuri Muranov, and Shing-Tung Yau},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224205151773241277},
  year={2016},
}
Alexander Grigoryan, Yuri Muranov, and Shing-Tung Yau. On a cohomology theory of digraphs and Hochschild cohomology. 2016. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224205151773241277.
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