Totally geodesic Seifert surfaces in hyperbolic knot and link complements II

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Standard

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.

I: Journal of Differential Geometry, Bind 79, Nr. 1, 2008, s. 1-23.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Adams, C, Bennett, H, Davis, CJ, Jennings, M, Novak, J, Perry, N & Schoenfeld, E 2008, 'Totally geodesic Seifert surfaces in hyperbolic knot and link complements II', Journal of Differential Geometry, bind 79, nr. 1, s. 1-23. <http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.jdg/1207834655>

APA

Adams, C., Bennett, H., Davis, C. J., Jennings, M., Novak, J., Perry, N., & Schoenfeld, E. (2008). Totally geodesic Seifert surfaces in hyperbolic knot and link complements II. Journal of Differential Geometry, 79(1), 1-23. http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.jdg/1207834655

Vancouver

Adams C, Bennett H, Davis CJ, Jennings M, Novak J, Perry N o.a. Totally geodesic Seifert surfaces in hyperbolic knot and link complements II. Journal of Differential Geometry. 2008;79(1):1-23.

Author

Adams, Colin ; Bennett, Hanna ; Davis, Christopher James ; Jennings, Michael ; Novak, Jennifer ; Perry, Nicholas ; Schoenfeld, Eric. / Totally geodesic Seifert surfaces in hyperbolic knot and link complements II. I: Journal of Differential Geometry. 2008 ; Bind 79, Nr. 1. s. 1-23.

Bibtex

@article{d2eba920098a45c7b2959bf97f1821dd,
title = "Totally geodesic Seifert surfaces in hyperbolic knot and link complements II",
abstract = "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.",
author = "Colin Adams and Hanna Bennett and Davis, {Christopher James} and Michael Jennings and Jennifer Novak and Nicholas Perry and Eric Schoenfeld",
year = "2008",
language = "English",
volume = "79",
pages = "1--23",
journal = "Journal of Differential Geometry",
issn = "0022-040X",
publisher = "Lehigh University Department of Mathematics",
number = "1",

}

RIS

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