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Dimension vs. genus: A surface realization of the little k-cubes and an $E_{∞}$ operad

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Kaufmann R.

Banach Center Publications

2009

tom 85

nr 1

241-274

We define a new $E_{∞}$ operad based on surfaces with foliations which contains $E_k$ 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.

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1 Banach Center Publications

1 Kaufmann R.

1 2009

Wyniki wyszukiwania

Dimension vs. genus: A surface realization of the little k-cubes and an $E_{∞}$ operad