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math.SG2025
Spectral Networks and Betti Lagrangians
Roger Casals, Yoon Jae Nho
We introduce and develop the theory of spectral networks in real contact and symplectic topology. First, we establish the existence and pseudoholomorphic characterization of spectr…
math.SG2024
Positive microlocal holonomies are globally regular
Roger Casals, Wenyuan Li
We establish a geometric criterion for local microlocal holonomies to be globally regular on the moduli space of Lagrangian fillings. This local-to-global regularity result holds f…