Hochschild homology, lax codescent, and duplicial structure
Category Theory
2018-03-16 v1 K-Theory and Homology
Quantum Algebra
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.
Keywords
Cite
@article{arxiv.1510.08925,
title = {Hochschild homology, lax codescent, and duplicial structure},
author = {Richard Garner and Stephen Lack and Paul Slevin},
journal= {arXiv preprint arXiv:1510.08925},
year = {2018}
}
Comments
27 pages