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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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.
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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.

    • Dedicated: Dedicated to Professor Yukio Matsumoto on his sixtieth birthday
  • 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