Multiplicative formality of operads and Sinha's spectral sequence for long knots

DOI10.1215/21562261-2801858zbMath1312.55018arXiv1210.0996OpenAlexW2077493616MaRDI QIDQ2342113

Syunji Moriya

Publication date: 8 May 2015

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.0996

zbMATH Keywords

Hochschild homologyspace of long knotshomology spectral sequenceKontsevich operadPoisson operad\(n\)-balls operad

Mathematics Subject Classification ID

Related Items (3)

On homotopy groups of spaces of embeddings of an arc or a circle: the Dax invariant ⋮ Formality of Sinha's cosimplicial model for long knots spaces and the Gerstenhaber algebra structure of homology ⋮ Symmetric multiplicative formality of the Kontsevich operad

Cites Work

• Homotopy theory of nonsymmetric operads
• The rational homology of spaces of long knots in codimension \(> 2\)
• Real homotopy theory of semi-algebraic sets
• Operads and motives in deformation quantization
• Axiomatic homotopy theory for operads
• Formality of chain operad of little discs
• Operads and knot spaces
• Finite type knot invariants and the calculus of functors
• Knots, operads, and double loop spaces
• Homological algebra of homotopy algebras
• Cosimplical objects and little n -cubes, I
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