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Some remarks on higher Morita categories

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arxiv 2309.09761 v1 pith:UHWUM7PL submitted 2023-09-18 math.CT math.AT

Rune Haugseng This is my paper · ORCID
classification math.CTmath.AT
keywords categoriesalgebrasconstructionhighermoritatakeanotherapproach
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abstract

We take another look at the construction of double $\infty$-categories of algebras and bimodules and prove a few supplemental results about these, including a simpler proof of the Segal condition and a comparison between our construction and that of Lurie. We then take a more streamlined, inductive approach to the higher Morita categories of $E_{n}$-algebras and show that these deloop correctly.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories

    math.QA 2025-06 accept novelty 8.0 of 10

    A finite braided tensor category is fully dualizable in the Morita 4-category of braided pre-tensor categories whenever its symmetric center is separable.

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