31 citations · 155 across the 36 of their papers we have counts for
47 papers · 1 filter
Passing from plat closure to standard closure of braids in , in handlebodies and in thickened surfaces
Paolo Cavicchioli, Sofia Lambropoulou
Given a knot or link in the form of plat closure of a braid, we describe an algorithm to obtain a braid representing the same knot or link with the standard closure, and vice-versa…
Knot invariants for rail knotoids
Dimitrios Kodokostas, Sofia Lambropoulou
To each rail knotoid we associate two unoriented knots along with their oriented counterparts, thus deriving invariants for rail knotoids based on these associations. We then trans…
Finite type invariants for knotoids
Manousos Manouras, Sofia Lambropoulou, Louis H. Kauffman
We extend the theory of Vassiliev (or finite type) invariants for knots to knotoids using two different approaches. Firstly, we take closures on knotoids to obtain knots and we use…
Braidoids
Neslihan Gügümcü, Sofia Lambropoulou
Braidoids generalize the classical braids and form a counterpart theory to the theory of planar knotoids, just as the theory of braids does for the theory of knots. In this paper,…
A generalized skein relation for Khovanov homology and a categorification of the -invariant
Maria Chlouveraki, Dimos Goundaroulis, Aristides Kontogeorgis +1
The Jones polynomial is a famous link invariant that can be defined diagrammatically via a skein relation. Khovanov homology is a richer link invariant that categorifies the Jones…
Topological surgery in the small and in the large
Stathis Antoniou, Louis H. Kauffman, Sofia Lambropoulou
We directly connect topological changes that can occur in mathematical three-space via surgery, with black hole formation, the formation of wormholes and new generalizations of the…