On spineless cacti, Deligne¿s conjecture and Connes¿Kreimer¿s Hopf algebra

• Autores: Ralph M. Kaufmann
• Localización: Topology, ISSN 0040-9383, Vol. 46, Nº 1, 2007, págs. 39-88
• Idioma: inglés
• DOI: 10.1016/j.top.2006.10.002
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• Resumen

  • 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