1 citations · 3 across the 11 of their papers we have counts for
15 papers
Knots and non-orientable surfaces in 3-manifolds
Alessia Cattabriga, Paolo Cavicchioli, Rama Mishra +1
In this article, we propose a new approach for describing and understanding knots and links in a 3-manifold through the use of an embedded non-orientable surface. Specifically, we…
A Markov theorem for plat closure of surface braids in Dunwoody and periodic Takahashi manifolds
Alessia Cattabriga, Paolo Cavicchioli
In this article we deal with the problem of finding equivalence moves for links in Dunwoody and periodic Takahashi manifolds. We represent these manifolds using Heegaard splitting…
The complexity of orientable graph manifolds
Alessia Cattabriga, Michele Mulazzani
We give an upper bound for the Matveev complexity of the whole class of closed connected orientable prime graph manifolds that is sharp for all 14502 graph manifolds of the Recogni…
A Markov theorem for generalized plat decomposition
Alessia Cattabriga, Boštjan Gabrovšek
We prove a Markov theorem for tame links in a connected closed orientable 3-manifold with respect to a plat-like representation. More precisely, given a genus Heegaard surf…
On the complexity of non-orientable Seifert fibre spaces
Alessia Cattabriga, Sergei Matveev, Michele Mulazzani +1
In this paper we deal with Seifert fibre spaces, which are compact 3-manifolds admitting a foliation by circles. We give a combinatorial description for these manifolds in all the…
Virtual quandle for links in lens spaces
A. Cattabriga, T. Nasybullov
We construct a virtual quandle for links in lens spaces , with . This invariant has two valuable advantages over an ordinary fundamental quandle for links in lens spac…