5 papers
A reconstruction lemma for enhanced bypass sequences
Matthias Scharitzer
In the appendix of [LSV26], the authors produce an invariant for contact structures on . In this paper, we prove a result announced there which states that this is i…
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…
A skein-valued lift of the unidirectional -quiver -dilogarithm relations
Matthias Scharitzer
We show that the -dilogarithm identities associated to the unidirectional -quiver lift to the HOMFLYPT-skein algebra of a genus handlebody.
Skein valued cluster transformation in enumerative geometry of Legendrian mutation
Matthias Scharitzer, Vivek Shende
Under certain hypotheses, we show that Legendrian surfaces related by disk surgery will have q-deformed augmentation spaces that are related by q-deformed cluster transformation. T…
Quantum mirrors of cubic planar graph Legendrians
Matthias Scharitzer, Vivek Shende
For a certain class of Legendrian surfaces in the five-sphere, associated to cubic planar graphs, we show that the all-genus skein-valued holomorphic curve invariants of any fillin…