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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…
math.RT2023
Invariance of microsheaves on stable Higgs bundles
David Nadler, Vivek Shende
The spectral side of the (conjectural) Betti geometric Langlands correspondence concerns sheaves on the character stack of an algebraic curve; in particular, the categories in ques…