On operads, bimodules and analytic functors

Published 28 May 2014 in math.CT and math.AT | (1405.7270v2)

Abstract: We develop further the theory of operads and analytic functors. In particular, we introduce a bicategory that has operads as 0-cells, operad bimodules as 1-cells and operad bimodule maps as 2-cells, and prove that this bicategory is cartesian closed. In order to obtain this result, we extend the theory of distributors and the formal theory of monads.

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