The pearly-tree and Hamiltonian immersed Lagrangian Floer chain groups are claimed to be canonically identified, extending Alston-Bao from the unobstructed to the obstructed setting.
Immersed lagrangian floer cohomology via pearly trajectories
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Equivalence of the pearly tree immersed Lagrangian Floer theory and the Hamiltonian immersed Lagrangian Floer theory
The pearly-tree and Hamiltonian immersed Lagrangian Floer chain groups are claimed to be canonically identified, extending Alston-Bao from the unobstructed to the obstructed setting.