Framings of knots satisfying differential relations
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- by James J. Hebda and Chichen M. Tsau PDF
- Trans. Amer. Math. Soc. 356 (2004), 267-281 Request permission
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.References
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Additional Information
- James J. Hebda
- Affiliation: Department of Mathematics, Saint Louis University, St. Louis, Missouri 63103
- MR Author ID: 83165
- Email: hebdajj@slu.edu
- Chichen M. Tsau
- Affiliation: Department of Mathematics, Saint Louis University, St. Louis, Missouri 63103
- Email: tsaumc@slu.edu
- Received by editor(s): May 14, 2001
- Received by editor(s) in revised form: September 11, 2002
- Published electronically: August 21, 2003
- © Copyright 2003 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 356 (2004), 267-281
- MSC (2000): Primary 57M25; Secondary 53A04, 53C23, 57R40
- DOI: https://doi.org/10.1090/S0002-9947-03-03222-7
- MathSciNet review: 2020032