164 citations · 1.4k across the 51 of their papers we have counts for
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A simplicial approach to multiplier bimonoids
Gabriella Böhm, Stephen Lack
Although multiplier bimonoids in general are not known to correspond to comonoids in any monoidal category, we classify them in terms of maps from the Catalan simplicial set to ano…
Multiplier Hopf monoids
Gabriella B"ohm, Stephen Lack
The notion of multiplier Hopf monoid in any braided monoidal category is introduced as a multiplier bimonoid whose constituent fusion morphisms are isomorphisms. In the category of…
Hochschild homology, lax codescent, and duplicial structure
Richard Garner, Stephen Lack, Paul Slevin
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 conce…
A category of multiplier bimonoids
Gabriella Böhm, Stephen Lack
The central object studied in this paper is a multiplier bimonoid in a braided monoidal category C. Adapting the philosophy of Janssen and Vercruysse, and making some mild assumpti…