Links in an open book decomposition and in the standard contact structure
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- by Hiroshi Matsuda PDF
- Proc. Amer. Math. Soc. 134 (2006), 3697-3702 Request permission
Abstract:
We study a relationship between arc presentations of links in $\mathbb {R}^3$ and Legendrian links in $\mathbb {R}^3$ with the standard tight contact structure. We determine the arc indices of torus knots.References
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Additional Information
- Hiroshi Matsuda
- Affiliation: Department of Mathematics, Graduate School of Science, Hiroshima University, Hiroshima 739-8526, Japan
- Address at time of publication: Department of Mathematics, Columbia University, 2990 Broadway, New York, New York 10027
- Email: matsuda@math.sci.hiroshima-u.ac.jp
- Received by editor(s): March 29, 2005
- Received by editor(s) in revised form: June 28, 2005
- Published electronically: June 8, 2006
- Additional Notes: The author was partially supported by the Grant-in-Aid for Scientific Research (No.16740036), The Ministry of Education, Culture, Sports, Science and Technology, Japan.
- Communicated by: Ronald A. Fintushel
- © Copyright 2006 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 134 (2006), 3697-3702
- MSC (2000): Primary 57M25, 53D10
- DOI: https://doi.org/10.1090/S0002-9939-06-08400-0
- MathSciNet review: 2240685
Dedicated: Dedicated to Professor Yukio Matsumoto on his sixtieth birthday