Displaying similar documents to “Search for different links with the same Jones' type polynomials: Ideas from graph theory and statistical mechanics”

Homfly polynomials as vassiliev link invariants

Taizo Kanenobu, Yasuyuki Miyazawa (1998)

Banach Center Publications

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We prove that the number of linearly independent Vassiliev invariants for an r-component link of order n, which derived from the HOMFLY polynomial, is greater than or equal to min{n,[(n+r-1)/2]}.

Vassiliev invariants as polynomials

Simon Willerton (1998)

Banach Center Publications

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Three results are shown which demonstrate how Vassiliev invariants behave like polynomials.

Adequacy of Link Families

Slavik Jablan, Ljiljana Radović, Radmila Sazdanović (2010)

Publications de l'Institut Mathématique

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Quasipositivity and new knot invariants.

Lee Rudolph (1989)

Revista Matemática de la Universidad Complutense de Madrid

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This is a survey (including new results) of relations ?some emergent, others established? among three notions which the 1980s saw introduced into knot theory: quasipositivity of a link, the enhanced Milnor number of a fibered link, and the new link polynomials. The Seifert form fails to determine these invariants; perhaps there exists an ?enhanced Seifert form? which does.