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Totally geodesic boundaries of knot complements
Author(s):
Richard
P.
Kent IV
Journal:
Proc. Amer. Math. Soc.
133
(2005),
3735-3744.
MSC (2000):
Primary 57M50
Posted:
June 8, 2005
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Abstract:
Given a compact orientable  -manifold  whose boundary is a hyperbolic surface and a simple closed curve  in its boundary, every knot in  is homotopic to one whose complement admits a complete hyperbolic structure with totally geodesic boundary in which the geodesic representative of  is as small as you like.
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Additional Information:
Richard
P.
Kent
IV
Affiliation:
Department of Mathematics, University of Texas, Austin, Texas 78712
Email:
rkent@math.utexas.edu
DOI:
10.1090/S0002-9939-05-07969-4
PII:
S 0002-9939(05)07969-4
Received by editor(s):
May 12, 2004
Received by editor(s) in revised form:
August 7, 2004
Posted:
June 8, 2005
Additional Notes:
This work was supported in part by a University of Texas Continuing Fellowship.
Dedicated:
for Kimberly
Communicated by:
Ronald A. Fintushel
Copyright of article:
Copyright
2005,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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