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arXiv · 1510.08925

Hochschild homology, lax codescent, and duplicial structure

Richard Garner·Stephen Lack·Paul Slevin
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Abstract

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.

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Richard Garner, Stephen Lack, Paul Slevin. 2015-10-29. Hochschild homology, lax codescent, and duplicial structure. https://doi.org/10.2140/akt.2018.3.1

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