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arXiv · 2501.04687

Open-closed Deligne-Mumford field theories: geometric foundations

Amanda Hirschi·Kai Hugtenburg
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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.

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Amanda Hirschi, Kai Hugtenburg. 2025-01-08. Open-closed Deligne-Mumford field theories: geometric foundations. https://arxiv.org/abs/2501.04687

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