Algebraic & Geometric Topology

Totally geodesic surfaces and homology

Jason DeBlois

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We construct examples of hyperbolic rational homology spheres and hyperbolic knot complements in rational homology spheres containing closed embedded totally geodesic surfaces.

Article information

Algebr. Geom. Topol., Volume 6, Number 3 (2006), 1413-1428.

Received: 15 February 2006
Revised: 5 July 2006
Accepted: 7 July 2006
First available in Project Euclid: 20 December 2017

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 57M50: Geometric structures on low-dimensional manifolds
Secondary: 57M27: Invariants of knots and 3-manifolds 57M12: Special coverings, e.g. branched

totally geodesic rational homology sphere


DeBlois, Jason. Totally geodesic surfaces and homology. Algebr. Geom. Topol. 6 (2006), no. 3, 1413--1428. doi:10.2140/agt.2006.6.1413.

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