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math.SG2023
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…
math.SG2023
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…