Totally geodesic Seifert surfaces in hyperbolic knot and link complements II
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Totally geodesic Seifert surfaces in hyperbolic knot and link complements II. / Adams, Colin; Bennett, Hanna; Davis, Christopher James; Jennings, Michael; Novak, Jennifer; Perry, Nicholas; Schoenfeld, Eric.
In: Journal of Differential Geometry, Vol. 79, No. 1, 2008, p. 1-23.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Totally geodesic Seifert surfaces in hyperbolic knot and link complements II
AU - Adams, Colin
AU - Bennett, Hanna
AU - Davis, Christopher James
AU - Jennings, Michael
AU - Novak, Jennifer
AU - Perry, Nicholas
AU - Schoenfeld, Eric
PY - 2008
Y1 - 2008
N2 - 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.
AB - 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.
M3 - Journal article
VL - 79
SP - 1
EP - 23
JO - Journal of Differential Geometry
JF - Journal of Differential Geometry
SN - 0022-040X
IS - 1
ER -
ID: 64381879