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• W2612433250 abstract "This paper proves that every finite volume hyperbolic 3-manifold M contains a ubiquitous collection of closed, immersed, quasi-Fuchsian surfaces. These surfaces are ubiquitous in the sense that their preimages in the universal cover separate any pair of disjoint, non-asymptotic geodesic planes. The proof relies in a crucial way on the corresponding theorem of Kahn and Markovic for closed 3-manifolds. As a corollary of this result and a companion statement about surfaces with cusps, we recover Wise's theorem that the fundamental group of M acts freely and cocompactly on a CAT(0) cube complex." @default.
• W2612433250 created "2017-05-19" @default.
• W2612433250 creator A5004718984 @default.
• W2612433250 creator A5053713392 @default.
• W2612433250 date "2019-03-05" @default.
• W2612433250 modified "2023-09-25" @default.
• W2612433250 title "Ubiquitous quasi-Fuchsian surfaces in cusped hyperbolic 3–manifolds" @default.
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• W2612433250 doi "https://doi.org/10.2140/gt.2019.23.241" @default.
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