Dimension vs. Genus: A surface realization of the little k-cubes and an E_{\infty}-operad

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dc.creatorKaufmann, Ralph M.
dc.date2008-01-03
dc.date2008-03-21
dc.date.accessioned2026-07-07T09:27:35Z
dc.date.available2026-07-07T09:27:35Z
dc.descriptionWe define a new $E_{\infty}$ operad based on surfaces with foliations which contains $E_k$ sub-operads. We construct CW models for these operads and provide applications of these models by giving actions on Hochschild complexes -thus making contact with string topology-, by giving explicit cell representatives for the Dyer-Lashof-Cohen operations for the 2-cubes and by constructing new $Ω$ spectra. The underlying novel principle is that we can trade genus in the surface representation vs. the dimension $k$ of the little $k$-cubes.
dc.description36 pages, 15 figures, new version, some more explanations and clarifications added
dc.identifierhttps://arxiv.org/abs/0801.0532
dc.identifierhttp://arxiv.org/abs/0801.0532
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/157156
dc.subjectAlgebraic Topology
dc.subjectQuantum Algebra
dc.titleDimension vs. Genus: A surface realization of the little k-cubes and an E_{\infty}-operad
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