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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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Vassiliev invariants of type two for a link
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by Hitoshi Murakami PDF
Proc. Amer. Math. Soc. 124 (1996), 3889-3896 Request permission

Abstract:

We show that any type two Vassiliev invariant of a link can be expressed as a linear combination of the second coefficients of the Conway polynomials of its components and a quadratic expression of linking numbers.
References
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Additional Information
  • Hitoshi Murakami
  • Affiliation: Department of Mathematics, Osaka City University, Sugimoto, Sumiyoshi-ku, Osaka 558, Japan
  • Address at time of publication: Department of Mathematics, School of Science and Engineering, Waseda University, Ohkubo, Tokyo, 169, Japan
  • Email: hitoshi@haya.co.jp
  • Received by editor(s): March 15, 1995
  • Additional Notes: Partially supported by Grant-in-Aid for Scientific Research on Priority Area 231 “Infinite Analysis”, the Ministry of Education, Science and Culture, Japan.
  • Communicated by: Ronald Stern
  • © Copyright 1996 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 124 (1996), 3889-3896
  • MSC (1991): Primary 57M25
  • DOI: https://doi.org/10.1090/S0002-9939-96-03628-3
  • MathSciNet review: 1353392