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arXiv · 2501.07926

Moduli spaces of spacefilling branes in symplectic 4-manifolds

Charlotte Kirchhoff-Lukat·Marco Zambon
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Abstract

On a symplectic manifold $(M, \omega)$, a spacefilling brane structure is a closed 2-form $F$ which determines a complex structure, with respect to which $F +i\omega$ is holomorphic symplectic. For holomorphic symplectic compact K\"ahler 4-manifolds, we show that the moduli space of spacefilling branes is smooth, and determine its dimension. The proof relies on the local Torelli theorem for K3 surfaces and tori.

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Charlotte Kirchhoff-Lukat, Marco Zambon. 2025-01-14. Moduli spaces of spacefilling branes in symplectic 4-manifolds. https://arxiv.org/abs/2501.07926

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