The oriented graph complex revisited

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arxiv 2411.19657 v1 pith:M5AB5G7P submitted 2024-11-29 math.QA

Sergei Merkulov , Thomas Willwacher , Vincent Wolff This is my paper · ORCID

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keywords complexgraphorientedalgebraskontsevichprovequasi-isomorphicrevisited

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abstract

We prove that the Kontsevich graph complex $GC_d^{2}$ and its oriented version $OGC_{d+1}^2$ are quasi-isomorphic as dg Lie algebras.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Pre-Calabi-Yau algebras and oriented gravity properad
math.QA 2025-01 conditional novelty 6.0 of 10

Pre-Calabi-Yau extensions of A∞ algebras induce actions of a newly constructed dg properad of oriented ribbon graphs on cyclic Hochschild cohomology, whose cohomology matches compactly supported cohomology of moduli s...