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math.SG2025
A contact homotopy type
Soham Chanda, Amanda Hirschi
Adapting the construction of global Kuranishi charts to the contact setting, we associate to any non-degenerate contact manifold a flow category based on Reeb orbits and moduli spa…
math.SG2025
Open-closed Deligne-Mumford field theories: geometric foundations
Amanda Hirschi, Kai Hugtenburg
We construct global Kuranishi charts for moduli spaces of pseudo-holomorphic maps of arbitrary genus with boundary on an embedded Lagrangian submanifold. We then build the geometri…