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arXiv · 2402.11703

Eilenberg-Moore Bicategories for Opmonoidal Pseudomonads

Adrian Miranda
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Abstract

We analyse compatibility between monads and monoidal structures in the two-dimensional setting. We describe sufficient conditions for monoidal structures to lift to the Eilenberg-Moore pseudoalgebras. We then extend these results to braids, syllapses and symmetries. To achieve these results we define the Gray-tensor product of pseudomonads, and examine its interaction with the Eilenberg-Moore construction.

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Adrian Miranda. 2024-02-18. Eilenberg-Moore Bicategories for Opmonoidal Pseudomonads. https://arxiv.org/abs/2402.11703

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