Title of article
On spineless cacti, Deligne’s conjecture and Connes–Kreimer’s Hopf algebra
Author/Authors
Kaufmann، نويسنده , , Ralph M.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2007
Pages
50
From page
39
To page
88
Abstract
Using a cell model for the little discs operad in terms of spineless cacti we give a minimal common topological operadic formalism for three a priori disparate algebraic structures: (1) a solution to Deligne’s conjecture on the Hochschild complex, (2) the Hopf algebra of Connes and Kreimer, and (3) the string topology of Chas and Sullivan.
Keywords
Deligne’s conjecture , Little discs , Operads , Gerstenhaber algebra , Hopf algebra , String topology , cacti , Renormalization , Hochschild complex
Journal title
Topology
Serial Year
2007
Journal title
Topology
Record number
1545567
Link To Document