3 papers
math.GT2026
The Giroux Correspondence in dimension 3
Joan Licata, Matthias Scharitzer, Vera Vértesi
This paper proves the Giroux Correspondence in dimension three using Heegaard splittings of contact manifolds. In two of the authors earlier paper they proved the Giroux Correspond…
math.GT2025
Common positive stabilisation of open book decompositions
Joan Licata, Vera Vértesi
The Giroux Correspondence states that two open book decompositions supporting the same contact structure are related by a sequence of positive open book stabilisations and destabil…
math.GT2025
Liftable braids and the coloured braid groupoid
Joan Licata, Vera Vértesi
When is a cover of the disc branched over marked points, the braid group acts on the disc by homeomorphisms fixing the marked points setw…