Open-closed Deligne-Mumford field theories: geometric foundations
Symplectic Geometry
2026-05-06 v2
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.
Keywords
Cite
@article{arxiv.2501.04687,
title = {Open-closed Deligne-Mumford field theories: geometric foundations},
author = {Amanda Hirschi and Kai Hugtenburg},
journal= {arXiv preprint arXiv:2501.04687},
year = {2026}
}
Comments
75 pages, major changes with construction of open-closed DMFT appearing in second paper, comments welcome!