Open-closed Deligne-Mumford field theories: geometric foundations
arXiv:2501.04687
Abstract
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 geometric foundations required for obtaining compatible chain-level operations, which are employed in follow-up work to construct an open-closed Deligne-Mumford field theory.
75 pages, major changes with construction of open-closed DMFT appearing in second paper, comments welcome!