On Spineless Cacti, Deligne's Conjecture and Connes--Kreimer's Hopf Algebra
arXiv:math/0308005
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.
arXiv commentVersion to appear in Topology. Some material rearranged, new appendix on the graph theoretical details for cacti. 69p. 5 figures elsart.cls
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