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#graph_manifold

Graph manifold

In topology, a graph manifold is a 3-manifold which is obtained by gluing some circle bundles. They were discovered and classified by the German topologist Friedhelm Waldhausen in 1967. This definition allows a very convenient combinatorial description as a graph whose vertices are the fundamental parts and (decorated) edges stand for the description of the gluing, hence the name.

Sun 21st

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Graph manifold Manifold 3-manifold Nonlinear dimensionality reduction Graph embedding Poincaré conjecture Symplectic manifold Laplacian matrix Parallelizable manifold Genus (mathematics)

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