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Framings of knots satisfying differential relations
Author(s):
James
J.
Hebda;
Chichen
M.
Tsau
Journal:
Trans. Amer. Math. Soc.
356
(2004),
267-281.
MSC (2000):
Primary 57M25;
Secondary 53A04, 53C23, 57R40
Posted:
August 21, 2003
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Abstract:
This paper introduces the notion of a differential framing relation for knots in a three-dimensional manifold. There is a canonical map from the space of knots that satisfy a framing relation into the space of framed knots. Under reasonable assumptions this canonical map is a weak homotopy equivalence.
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Additional Information:
James
J.
Hebda
Affiliation:
Department of Mathematics, Saint Louis University, St. Louis, Missouri 63103
Email:
hebdajj@slu.edu
Chichen
M.
Tsau
Affiliation:
Department of Mathematics, Saint Louis University, St. Louis, Missouri 63103
Email:
tsaumc@slu.edu
DOI:
10.1090/S0002-9947-03-03222-7
PII:
S 0002-9947(03)03222-7
Received by editor(s):
May 14, 2001
Received by editor(s) in revised form:
September 11, 2002
Posted:
August 21, 2003
Copyright of article:
Copyright
2003,
American Mathematical Society
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