Algebraic & Geometric Topology Volume 6, issue 3 (2006)

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ISSN (electronic): 1472-2739

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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

Bibliography

1	C C Adams, Toroidally alternating knots and links, Topology 33 (1994) 353 MR1273788
2	C C Adams, J F Brock, J Bugbee, e al., Almost alternating links, Topology Appl. 46 (1992) 151 MR1184114
3	C C Adams, A W Reid, Quasi–Fuchsian surfaces in hyperbolic knot complements, J. Austral. Math. Soc. Ser. A 55 (1993) 116 MR1231698
4	A Hatcher, Basic Topology of Three Manifolds, online notes
5	K Ichihara, M Ozawa, Accidental surfaces in knot complements, J. Knot Theory Ramifications 9 (2000) 725 MR1775383
6	C J Leininger, Small curvature surfaces in hyperbolic 3–manifolds, J. Knot Theory Ramifications 15 (2006) 379 MR2217503
7	D D Long, Immersions and embeddings of totally geodesic surfaces, Bull. London Math. Soc. 19 (1987) 481 MR898729
8	M T Lozano, J H Przytycki, Incompressible surfaces in the exterior of a closed 3–braid I: Surfaces with horizontal boundary components, Math. Proc. Cambridge Philos. Soc. 98 (1985) 275 MR795894
9	H Matsuda, Complements of hyperbolic knots of braid index four contain no closed embedded totally geodesic surfaces, Topology Appl. 119 (2002) 1 MR1881706
10	J P Mayberry, K Murasugi, Torsion-groups of abelian coverings of links, Trans. Amer. Math. Soc. 271 (1982) 143 MR648083
11	W Menasco, A W Reid, Totally geodesic surfaces in hyperbolic link complements, from: "Topology '90 (Columbus, OH, 1990)", Ohio State Univ. Math. Res. Inst. Publ. 1, de Gruyter (1992) 215 MR1184413
12	Y Miyamoto, Volumes of hyperbolic manifolds with geodesic boundary, Topology 33 (1994) 613 MR1293303
13	U Oertel, Closed incompressible surfaces in complements of star links, Pacific J. Math. 111 (1984) 209 MR732067
14	L Paoluzzi, B Zimmermann, On a class of hyperbolic 3–manifolds and groups with one defining relation, Geom. Dedicata 60 (1996) 113 MR1384422
15	J Porti, Mayberry–Murasugi's formula for links in homology 3–spheres arXiv:math/GT0306181
16	M Sakuma, The homology groups of abelian coverings of links, Math. Sem. Notes Kobe Univ. 7 (1979) 515 MR567241
17	D W Sumners, On the homology of finite cyclic coverings of higher-dimensional links, Proc. Amer. Math. Soc. 46 (1974) 143 MR0350747
18	W P Thurston, The Geometry and Topology of 3–manifolds, (1978)