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

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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.
Version 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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Quantum Algebra, Algebraic Topology, Geometric Topology

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http://salesiana.dossiersoluciones.com/handle/123456789/99866

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0308005
 http://arxiv.org/abs/math/0308005

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arXiv