EQUIVALENCE OF FORMALITIES OF THE LITTLE DISCS OPERAD

作者:Severa Pavol*; Willwacher Thomas
来源:Duke Mathematical Journal, 2011, 160(1): 175-206.
DOI:10.1215/00127094-1443502

摘要

There is a remarkable Drinfeld associator given by Kontsevich's integrals over configuration spaces of points in the plane. Using this Drinfeld associator we show that Kontsevich's and Tamarkin's formalities of the little discs operad are homotopic. The basic technical tool for this result is an Loo-algebra of graphs whose cohomology is the Drinfeld-Kohno Lie algebra of infinitesimal pure braids.

  • 出版日期2011-10-1