2023/10/26 by Kenneth Blakey, Soham Chanda, Blakey, Kenneth +5
Mathematics · Physics and Astronomy · #53D05 #53D10 #53D42 #57R17 #FOS: Mathematics #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics #Symplectic Geometry (math.SG)
paper · pdf · doi:10.48550/arxiv.2310.17821
openalex publication_date 2023/10/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This is the first in a sequence of papers where we show that Lagrangian fillings such as the Harvey-Lawson filling in any dimension define augmentations of Chekanov-Eliashberg differential graded algebras by counting configurations of holomorphic disks connected by gradient trajectories, as in Aganagic-Ekholm-Ng-Vafa; we also prove that for Legendrian lifts of monotone tori, the augmentation variety is the zero level set of the Landau-Ginzburg potential of the Lagrangian projection, as suggested by Dimitroglou-Rizell-Golovko. In this part, we set up the foundations of moduli spaces of pseudoholomorphic buildings.