Proceedings of the American Mathematical Society

Author(s): Hiroshi Matsuda
Journal: Proc. Amer. Math. Soc. 134 (2006), 3697-3702.
MSC (2000): Primary 57M25, 53D10
Posted: June 8, 2006
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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.

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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

DOI: 10.1090/S0002-9939-06-08400-0
PII: S 0002-9939(06)08400-0
Keywords: Arc presentation, Legendrian knot
Received by editor(s): March 29, 2005
Received by editor(s) in revised form: June 28, 2005
Posted: 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.
Dedicated: Dedicated to Professor Yukio Matsumoto on his sixtieth birthday
Communicated by: Ronald A. Fintushel
Copyright of article: Copyright 2006, American Mathematical Society

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