Natural differential operators and graph complexes

DOI10.1016/j.difgeo.2008.10.008zbMath1165.51005arXivmath/0612183OpenAlexW1968651631WikidataQ115357402 ScholiaQ115357402MaRDI QIDQ1012341

Martin Markl

Publication date: 16 April 2009

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0612183

zbMATH Keywords

cohomologyvector fieldconnectiongraph complexnatural differential operator

Mathematics Subject Classification ID

Chain complexes (category-theoretic aspects), dg categories (18G35) Geometries with differentiable structure (51H25) Natural bundles (58A32)

Related Items (4)

All stable characteristic classes of homological vector fields ⋮ Characteristic classes of Q-manifolds: classification and applications ⋮ Natural operators on tensor fields ⋮ Combinatorial differential geometry and ideal Bianchi–Ricci identities

Cites Work

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• PROP profile of Poisson geometry
• Natural bundles have finite order
• Koszul duality for operads
• Infinitesimal operations on complexes of graphs
• Ribbon graphs, quadratic differentials on Riemann surfaces, and algebraic curves defined over \(\overline{\mathbb Q}\)
• Fusion and fission in graph complexes.
• On a theorem of Kontsevich
• Invariant tensors and graphs
• Natural Vector Bundles and Natural Differential Operators
• Homotopy algebras are homotopy algebras

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