3 papers
math.QA2026
Duplicial sets, crossed -sets and descent categories
John Boiquaye, Ralph Twum
The goal of this note is to show that the left -coalgebra, which is an additional structure on one of the coefficients used in the construction of the cyclic operator for the cy…
math.CT2025
Duplicial functors, descent categories and generalized Hopf modules
Ivan Bartulović, John Boiquaye, Ulrich Krähmer
Böhm and Ştefan have expressed cyclic homology as an invariant that assigns homology groups to right and left coalgebras respect…
math.CT2022
Cyclic duality for slice and orbit 2-categories
John Boiquaye, Philipp Joram, Ulrich Krähmer
The self-duality of the paracyclic category is extended to a certain class of homotopy categories of (2,1)-categories. These generalise the orbit category of a group and are associ…