4 papers · 1 filter
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…
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…
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…
Heegaard splittings and the tight Giroux Correspondence
Joan Licata, Vera Vértesi
This paper presents a new proof of the Giroux Correspondence for tight contact -manifolds using techniques from Heegaard splittings and convex surface theory. We introduce tight…