Equivalence of formalities of the little discs operad
By P. Ševera, Thomas Willwacher. 2009
57 citations recorded by the source corpus.
We show that Kontsevich's formality of the little disk operad, obtained using graphs, is homotopic to Tamarkin's formality, for a special choice of a Drinfeld associator. The associator is given by parallel transport of the Alekseev-Torossian connection.
Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/49448b1908be138ce51716fd032d7c0562a3d9dd
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Algebra and Number Theory
In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- M. Kontsevich’s graph complex and the Grothendieck–Teichmüller Lie algebra (2010, methodology): “Following [18], one notes that each graph in Graphsn decomposes into a (co)product of internally connected components.”
- Graph-complexes computing the rational homotopy of high dimensional analogues of spaces of long knots (2011, background): “ogether with their small vicinities. The family of spaces Pn• = {Pnk,k≥0}is preserved by the Γ structure maps, simply because these maps respect the coalgebra structure of Dn k, k≥0. Proposition 2.4 ([40, 34]). For n≥3, the right Γ-modules π∗(Bn(•)) ⊗Q and Pn• are quasi-isomorphic (by a zigzag of qu”