On a cohomology of digraphs and Hochschild cohomology
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Publication:505027
DOI10.1007/s40062-015-0103-1zbMath1353.05056OpenAlexW2171000028MaRDI QIDQ505027
Alexander Grigor'yan, Shing Tung Yau, Yurij V. Muranov
Publication date: 18 January 2017
Published in: Journal of Homotopy and Related Structures (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40062-015-0103-1
(Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Simplicial sets and complexes in algebraic topology (55U10) Directed graphs (digraphs), tournaments (05C20) Combinatorial aspects of simplicial complexes (05E45) Homotopy groups (55Q99)
Related Items
Path homology theory of edge-colored graphs ⋮ Magnitude homology and path homology ⋮ Singular cell homology ⋮ Homologies of transitive digraphs and discrete spaces;Гомологии транзитивных орграфов и дискретных пространств ⋮ Path complexes and their homologies ⋮ Path homology theory of multigraphs and quivers ⋮ Heat kernels on forms defined on a subgraph of a complete graph ⋮ Analysis and stochastic processes on metric measure spaces ⋮ The twisted homology of simplicial set ⋮ Biomolecular topology: modelling and analysis
Cites Work
- Simplicial cohomology is Hochschild cohomology
- Graphs associated with simplicial complexes
- Cohomology of digraphs and (undirected) graphs
- Contractible transformations do not change the homology groups of graphs
- Cohomology of incidence algebras and simplicial complexes
- Homotopy theory for digraphs
- Homology theory of graphs
- On the cohomology groups of an associative algebra
- On the Deformation of Algebra Morphisms and Diagrams
- Discrete differential calculus: Graphs, topologies, and gauge theory
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