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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. LOMI, 1991 Volume 193, Pages 4–9 (Mi znsl4989)

This article is cited in 3 papers

A new form of the Conway–Jones polynomial of oriented links

M. N. Gusarov


Abstract: A new invariant polynomial $f$ of an oriented link is constructed. It is shown to be reducible to the Conway–Jones polynomials of the link and of its sublinks, on the other hand the Conway–Jones polynomial is reducible to the new one. If $L$ is a split link, then $f_L=0$. A new notion is introduced: a link invariant of a finite degree. The polynomial $f$ consists of an infinite system of invariants of finite degrees.

UDC: 513.832/835



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