0000000001142426

AUTHOR

André Joyal

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On operads, bimodules and analytic functors

2017

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.

General Mathematics0102 computer and information sciences01 natural sciencesMathematics::Algebraic TopologyQuantitative Biology::Cell BehaviorMathematics::K-Theory and HomologyMathematics::Quantum AlgebraMathematics::Category Theory18D50 55P48 18D05 18C15FOS: MathematicsAlgebraic Topology (math.AT)Category Theory (math.CT)Mathematics - Algebraic Topology0101 mathematicsMathematicsFunctorOperad bimodule analytic functor bicategoryTheoryMathematics::Operator AlgebrasApplied Mathematics010102 general mathematicsOrder (ring theory)Mathematics - Category Theory16. Peace & justiceBicategoryAlgebraCartesian closed category010201 computation theory & mathematicsBimodule
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