Moduli spaces and formal operads

DOI10.1215/S0012-7094-05-12924-6zbMath1120.14018arXivmath/0402098OpenAlexW2005616059MaRDI QIDQ2572638

Francisco Guillén, Agustí Roig, Vicente Navarro Aznar, Pere Pascual-Gainza

Publication date: 4 November 2005

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0402098

zbMATH Keywords

formalityminimal modelsmodular operadmoduli space of stable curveshomology operadsingular chain operad

Mathematics Subject Classification ID

Related Items (25)

Coextension of scalars in operad theory ⋮ The 2-Chu-Dialectica construction and the polycategory of multivariable adjunctions ⋮ Étale cohomology, purity and formality with torsion coefficients ⋮ Deformation theory of cohomological field theories ⋮ On two chain models for the gravity operad ⋮ Toward a minimal model for \(H_* (\overline{\mathcal{M}})\) ⋮ Monoidal structures on the categories of quadratic data ⋮ When can a formality quasi-isomorphism over \(\mathbb{Q}\) be constructed recursively? ⋮ Manifolds, K-theory and the calculus of functors ⋮ Unnamed Item ⋮ \(E_{1}\)-formality of complex algebraic varieties ⋮ The equivalence between Feynman transform and Verdier duality ⋮ Operads of genus zero curves and the Grothendieck-Teichmüller group ⋮ The Lambrechts-Stanley model of configuration spaces ⋮ Calculus of functors, operad formality, and rational homology of embedding spaces ⋮ Brown's dihedral moduli space and freedom of the gravity operad ⋮ Minimal models, GT-action and formality of the little disk operad ⋮ Formality of the little N-disks operad ⋮ Up-to-homotopy algebras with strict units ⋮ A Cartan-Eilenberg approach to homotopical algebra ⋮ Cyclic operad formality for compactified moduli spaces of genus zero surfaces ⋮ Truncation of unitary operads ⋮ The intrinsic formality of \(E_n\)-operads ⋮ On the formality of the little disks operad in positive characteristic ⋮ Homotopy transfer and formality

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