3 papers
math.GT2021
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,…
math-ph2021
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…
math.GT2019
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…