Convex plumbings in closed hyperbolic 4-manifolds

Author:

Martelli Bruno,Riolo StefanoORCID,Slavich Leone

Abstract

AbstractWe show that every plumbing of disc bundles over surfaces whose genera satisfy a simple inequality may be embedded as a convex submanifold in some closed hyperbolic four-manifold. In particular its interior has a geometrically finite hyperbolic structure that covers a closed hyperbolic four-manifold.

Funder

Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology

Reference15 articles.

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3. Gompf, R.E., Stipsicz, A.I.: 4-manifolds and Kirby calculus, Graduate Studies in Mathematics, 20, American Mathematical Society, Providence, RI (1999)

4. Gromov, M., Lawson, H. B., Thurston, W. P.: Hyperbolic $$4$$-manifolds and conformally flat 3-manifolds, Publ. Math., Inst. Hautes Étud. Sci. 68, 27–45 (1988)

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1. A small cusped hyperbolic 4‐manifold;Bulletin of the London Mathematical Society;2023-09-04

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