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RESEARCH PRODUCT
On operads, bimodules and analytic functors
André JoyalNicola Gambinosubject
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 & mathematicsBimoduledescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-09-01 |