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Totally geodesic surfaces and homology

Jason DeBlois
Algebraic & Geometric Topology 6 (2006) 1413–1428
DOI: 10.2140/agt.2006.6.1413

arXiv: math.GT/0601561
Abstract

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

Keywords
totally geodesic, rational homology sphere
Mathematical Subject Classification 2000
Primary: 57M50
Secondary: 57M27, 57M12
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Publication
Received: 15 February 2006
Revised: 5 July 2006
Accepted: 7 July 2006
Published: 25 September 2006
Authors
Jason DeBlois
Department of Mathematics
The University of Texas at Austin
1 University Station C1200
Austin, TX 78712-0257
USA