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Hyperbolic four-manifolds

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arxiv 1512.03661 v2 pith:2PZ47HU7 submitted 2015-12-11 math.GT math.DG

classification math.GTmath.DG
keywords four-manifoldshyperbolicconcretecontainsdescribeexamplesfinite-volumefocus
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This is a short survey on finite-volume hyperbolic four-manifolds. We describe some general theorems and focus on the concrete examples that we found in the literature. The paper contains no new result.

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  1. Machine Learning Gravity Compactifications on Negatively Curved Manifolds

    hep-th 2024-12 conditional novelty 5.0 of 10

    A neural network is trained to solve the Einstein equations on a Dehn-filled hyperbolic three-manifold, cutting the equation residual to about a percent and serving as a proof-of-concept for machine-learning gravity c...

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