2 citations · 2 across the 5 of their papers we have counts for
6 papers
On the axioms of singquandles
Marco Bonatto, Alessia Cattabriga
In this paper we deal with the notion of singquandles introduced in Indu R. U. Churchill, Mohamed Elhamdadi, Mustafa Hajij, and Sam Nelson, Singular knots and involutive quandles,…
Kraus operators and symmetric groups
Alessia Cattabriga, Elisa Ercolessi, Riccardo Gozzi +1
In the contest of open quantum systems, we study a class of Kraus operators whose definition relies on the defining representation of the symmetric groups. We analyze the induced o…
Knot quandle decomposition along a torus
Marco Bonatto, Alessia Cattabriga, Eva Horvat
We study the structure of the augmented fundamental quandle of a knot whose complement contains an incompressible torus. We obtain the relationship between the fundamental quandle…
Knot quandle decompositions
Alessia Cattabriga, Eva Horvat
We show that the fundamental quandle defines a functor from the oriented tangle category to a suitably defined quandle category. Given a tangle decomposition of a link , the fun…
Diffeomorphic vs isotopic links in lens spaces
Alessia Cattabriga, Enrico Manfredi
Links in lens spaces may be defined to be equivalent by ambient isotopy or by diffeomorphism of pairs. In the first case, for all the combinatorial representations of links, there…
Equivalence of two diagram representations of links in lens spaces and essential invariants
Alessia Cattabriga, Enrico Manfredi, Lorenzo Rigolli
In this paper we study the relation between two diagrammatic representations of links in lens spaces: the disk diagram and the grid diagram and we find how to pass from one to the…