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Zapiski Nauchnykh Seminarov POMI, 1995, Volume 231, Pages 141–147 (Mi znsl3745)  
Topology of manifolds and varieties

The behavior of invariants of finite degree under interdependent transformations of links

M. N. Gusarov

Russian State Gidrometeorology Institute
Full-text PDF (333 kB)
Abstract: A new approach to the definition of the notion of finite-degree invariants of oriented links is described. It is proved that using new transformations, which are much more general than usual, actually leads to the same theory of such invariants. Applying these general transformations we also prove that the invariants of finite degree are polynomials in the gleams if the Hopf projection of the link is fixed. Bibl. 3 titles.
Received: 10.05.1995
English version:
Journal of Mathematical Sciences (New York), 1998, Volume 91, Issue 6, Pages 3420–3424
DOI: https://doi.org/10.1007/BF02434918
Bibliographic databases:
Document Type: Article
UDC: 515.164.634
Language: Russian
Citation: M. N. Gusarov, “The behavior of invariants of finite degree under interdependent transformations of links”, Investigations in topology. Part 8, Zap. Nauchn. Sem. POMI, 231, POMI, St. Petersburg, 1995, 141–147; J. Math. Sci. (New York), 91:6 (1998), 3420–3424
Citation in format AMSBIB
\Bibitem{Gus95}
\by M.~N.~Gusarov
\paper The behavior of invariants of finite degree under interdependent transformations of links
\inbook Investigations in topology. Part~8
\serial Zap. Nauchn. Sem. POMI
\yr 1995
\vol 231
\pages 141--147
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3745}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1434288}
\zmath{https://zbmath.org/?q=an:0982.57004}
\transl
\jour J. Math. Sci. (New York)
\yr 1998
\vol 91
\issue 6
\pages 3420--3424
\crossref{https://doi.org/10.1007/BF02434918}
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