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- W2950726397 abstract "We 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 $Omega$ spectra. The underlying novel principle is that we can trade genus in the surface representation vs. the dimension $k$ of the little $k$-cubes." @default.
- W2950726397 created "2019-06-27" @default.
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- W2950726397 date "2008-01-03" @default.
- W2950726397 modified "2023-09-27" @default.
- W2950726397 title "Dimension vs. Genus: A surface realization of the little k-cubes and an E_{infty}-operad" @default.
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