3 papers
math.GT2023
Cyclic Objects from Surfaces
Ivan Bartulović
In this paper, we endow the family of all closed genus surfaces with a structure of a (co)cyclic object in the category of 3-dimensional cobordisms. As a corollary, any $…
math.AT2022
Cyclic sets from ribbon string links
Ivan Bartulović
In this paper, we first endow the set of ribbon string links (up to isotopy) with a structure of a cyclic and of a cocyclic set. Next, we relate these (co)cyclic sets with those as…
math.KT2022
On the braided Connes-Moscovici construction
Ivan Bartulović
In , Connes and Moscovici defined the cyclic cohomology of Hopf algebras. In , Khalkhali and Pourkia proposed a braided generalization: to any Hopf algebra in a bra…