
arXiv: math/0601561
We construct examples of hyperbolic rational homology spheres and hyperbolic knot complements in rational homology spheres containing closed embedded totally geodesic surfaces.
This is the version published by Algebraic & Geometric Topology on 25 September 2006
totally geodesic, Geometric Topology (math.GT), rational homology sphere, Invariants of knots and \(3\)-manifolds, 57M50, 57M12, Mathematics - Geometric Topology, 57M50, 57M12, 57M27, 57M27, General geometric structures on low-dimensional manifolds, FOS: Mathematics, Low-dimensional topology of special (e.g., branched) coverings
totally geodesic, Geometric Topology (math.GT), rational homology sphere, Invariants of knots and \(3\)-manifolds, 57M50, 57M12, Mathematics - Geometric Topology, 57M50, 57M12, 57M27, 57M27, General geometric structures on low-dimensional manifolds, FOS: Mathematics, Low-dimensional topology of special (e.g., branched) coverings
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