Dimension vs. genus: A surface realization of the little k-cubes and an E∞ operad
Ralph M. Kaufmann
Banach Center Publications, Tome 86 (2009), p. 241-274 / Harvested from The Polish Digital Mathematics Library
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We define a new E∞ operad based on surfaces with foliations which contains Ek suboperads. 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.

Publié le : 2009-01-01
EUDML-ID : urn:eudml:doc:281802 
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     author = {Ralph M. Kaufmann},
     title = {Dimension vs. genus: A surface realization of the little k-cubes and an $E\_{$\infty$}$ operad},
     journal = {Banach Center Publications},
     volume = {86},
     year = {2009},
     pages = {241-274},
     zbl = {1171.55004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc85-0-17}
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Ralph M. Kaufmann. Dimension vs. genus: A surface realization of the little k-cubes and an $E_{∞}$ operad. Banach Center Publications, Tome 86 (2009) pp. 241-274. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc85-0-17/