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arXiv · 2412.15769

Cohomological lifting of multi-toric graphs

Kael Dixon·Thomas Bruun Madsen·Andrew Swann
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Abstract

We study $G_{2}$-manifolds obtained from circle bundles over symplectic $SU(3)$-manifolds with $T^{2}$-symmetry. When the geometry is multi-Hamiltonian, we show how the compact part of the resulting multi-moment graph for the $G_{2}$-structure may obtained cohomologically from the base. The lifting procedure is illustrated in the context of toric geometry.

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Kael Dixon, Thomas Bruun Madsen, Andrew Swann. 2024-12-20. Cohomological lifting of multi-toric graphs. https://arxiv.org/abs/2412.15769

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