Totally geodesic Seifert surfaces in hyperbolic knot and link complements, II
Adams, C. ; Bennett, H. ; Davis, C. ; Jennings, M. ; Kloke, J. ; Perry, N. ; Schoenfeld, E.
J. Differential Geom., Tome 78 (2008) no. 1, p. 1-23 / Harvested from Project Euclid
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We generalize the results of Adams–Schoenfeld, finding large classes of totally geodesic Seifert surfaces in hyperbolic knot and link complements, each covering a rigid 2-orbifold embedded in some hyperbolic 3-orbifold. In addition, we provide a uniqueness theorem and demonstrate that many knots cannot possess totally geodesic Seifert surfaces by giving bounds on the width invariant in the presence of such a surface. Finally, we utilize these examples to demonstrate that the Six Theorem is sharp for knot complements in the 3-sphere.
Publié le : 2008-05-15
Classification:  
@article{1207834655,
     author = {Adams, C. and Bennett, H. and Davis, C. and Jennings, M. and Kloke, J. and Perry, N. and Schoenfeld, E.},
     title = {Totally geodesic Seifert surfaces in hyperbolic knot and link complements, II},
     journal = {J. Differential Geom.},
     volume = {78},
     number = {1},
     year = {2008},
     pages = { 1-23},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1207834655}
}

Adams, C.; Bennett, H.; Davis, C.; Jennings, M.; Kloke, J.; Perry, N.; Schoenfeld, E. Totally geodesic Seifert surfaces in hyperbolic knot and link complements, II. J. Differential Geom., Tome 78 (2008) no. 1, pp.  1-23. http://gdmltest.u-ga.fr/item/1207834655/