manuscripta mathematica

, Volume 61, Issue 3, pp 279–284

Non-trivial negative links have positive signature

  • Pawel Traczyk


A negative link is an oriented link that can be represented by a diagram with all the crossings negative. In this paper we prove the following theorem.


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  1. [1]
    K. Murasugi.: On invariants of graphs with applications to knot theory, preprintGoogle Scholar
  2. [2]
    L. Rudolph.: Non-trivial positive braids have positive signature. Topology, 21 (1982) 325–327Google Scholar
  3. [3]
    P.Traczyk.: A combinatorial formula for the signature of alternating links, preprintGoogle Scholar

Copyright information

© Springer-Verlag 1988

Authors and Affiliations

  • Pawel Traczyk
    • 1
  1. 1.Department of MathematicsWarsaw UniversityWarszawaPoland

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