Abstract
We introduce the notion of an operator category and two different models for homotopy theory of –operads over an operator category — one of which extends Lurie’s theory of –operads, the other of which is completely new, even in the commutative setting. We define perfect operator categories, and we describe a category attached to a perfect operator category that provides Segal maps. We define a wreath product of operator categories and a form of the Boardman–Vogt tensor product that lies over it. We then give examples of operator categories that provide universal properties for the operads and () and also a collection of new examples.
Citation
Clark Barwick. "From operator categories to higher operads." Geom. Topol. 22 (4) 1893 - 1959, 2018. https://doi.org/10.2140/gt.2018.22.1893
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