On a cohomology of digraphs and Hochschild cohomology

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作者
Alexander Grigor’yan
Yuri Muranov
Shing-Tung Yau
机构
[1] University of Bielefeld,Department of Mathematics
[2] University of Warmia and Mazury,Department of Mathematics
[3] Harvard University,Department of Mathematics
关键词
Cohomology theory of digraph; Simplicial complex; Hochschild cohomology; 05C20; 55U10; 13D03;
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摘要
We use a differential form cohomology theory on transitive digraphs 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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页码:209 / 230
页数:21
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