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math.SG2021
An Index Formula for Cauchy-Riemann Operators on Surfaces with Boundary Punctures
Dylan Cant
We give a self-contained proof of a formula computing the Fredholm index for asymptotically non-degenerate Cauchy-Riemann operators on surfaces with boundary punctures using the me…
math.SG2021
Perturbed Holomorphic Cylinders, Exponential Estimates, and Flow Lines
Dylan Cant
A convergence result for perturbed holomorphic cylinders in is proved; a sequence of perturbed holomorphic cylinders converges to a configuration of two holomorph…
math.SG2021★ 1 cited
Exponential Convergence to Non-degenerate Reeb Chords
Dylan Cant
Exponential convergence type results are proved for holomorphic curves in the symplectization of a contact manifold with boundary on a Legendrian cylinder. The results are prov…