On Spineless Cacti, Deligne's Conjecture and Connes--Kreimer's Hopf Algebra

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dc.creatorKaufmann, Ralph M.
dc.date2003-08-01
dc.date2006-10-25
dc.date.accessioned2026-07-07T06:35:41Z
dc.date.available2026-07-07T06:35:41Z
dc.descriptionUsing 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.
dc.descriptionVersion to appear in Topology. Some material rearranged, new appendix on the graph theoretical details for cacti. 69p. 5 figures elsart.cls
dc.identifierhttps://arxiv.org/abs/math/0308005
dc.identifierhttp://arxiv.org/abs/math/0308005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99866
dc.subjectQuantum Algebra
dc.subjectAlgebraic Topology
dc.subjectGeometric Topology
dc.titleOn Spineless Cacti, Deligne's Conjecture and Connes--Kreimer's Hopf Algebra
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