Hochschild homology, lax codescent, and duplicial structure

Richard Garner*, Stephen Lack, Paul Slevin

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    1 Citation (Scopus)


    We study the duplicial objects of Dwyer and Kan, which generalize the cyclic objects of Connes. We describe duplicial objects in terms of the decalage comonads, and we give a conceptual account of the construction of duplicial objects due to Bohm and, Stefan. This is done in terms of a 2-categorical generalization of Hochschild homology. We also study duplicial structure on nerves of categories, bicategories, and monoidal categories.

    Original languageEnglish
    Pages (from-to)1-31
    Number of pages31
    JournalAnnals of k-Theory
    Issue number1
    Publication statusPublished - 2018


    • comonads
    • distributive laws
    • cyclic category
    • duplicial objects
    • Hochschild homology


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