Multi-directed graph complexes and quasi-isomorphisms between them I: oriented graphs

zbMath1434.05156arXiv1703.09605MaRDI QIDQ5217592

Marko Živković

Publication date: 24 February 2020

Full work available at URL: https://arxiv.org/abs/1703.09605

zbMATH Keywords

graph complexesmulti-directed graph complexesmulti-oriented propsoriented graph complexes

Mathematics Subject Classification ID

Deformation quantization, star products (53D55) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Directed graphs (digraphs), tournaments (05C20) Combinatorial aspects of groups and algebras (05E16)

Related Items

A note on multi-oriented graph complexes and deformation quantization of Lie bialgebroids ⋮ Multi-oriented props and homotopy algebras with branes ⋮ The stable cohomology of self-equivalences of connected sums of products of spheres ⋮ Differentials on graph complexes. III: Hairy graphs and deleting a vertex ⋮ Quantizations of Lie bialgebras, duality involution and oriented graph complexes

Cites Work

• Multiple edges in M. Kontsevich's graph complexes and computations of the dimensions and Euler characteristics
• Differentials on graph complexes
• An explicit two step quantization of Poisson structures and Lie bialgebras
• Multi-oriented props and homotopy algebras with branes
• The oriented graph complexes
• M. Kontsevich's graph complex and the Grothendieck-Teichmüller Lie algebra
• Deformation theory of representations of prop(erad)s II
• Unnamed Item

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