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Alexander polynomials as isotopy invariants. I

, 1958
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JONES POLYNOMIAL INVARIANTS

Journal of Knot Theory and Its Ramifications, 2006
The Jones polynomial is a well-defined invariant of virtual links. We observe the effect of a generalised mutation M of a link on the Jones polynomial. Using this, we describe a method for obtaining invariants of links which are also invariant under M. The Jones polynomial of welded links is not well-defined in ℤ[q1/4, q-1/4]. Taking M = Fo allows us
Fish, Andrew, Keyman, Ebru
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Polynomial icosahedral invariants

Journal of Mathematical Physics, 1988
In this paper the ring of polynomial invariants of the icosahedral group I is studied. It begins by reviewing the surprising connections that this group and its double cover II have with various areas of mathematics and physics of current interest. Information concerning the representation theory of these groups is then given.
Cummins, C. J., Patera, J.
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INVARIANTS OF DEFECTLESS IRREDUCIBLE POLYNOMIALS

Journal of Algebra and Its Applications, 2010
Defectless irreducible polynomials over a Henselian valued field (F, v) have been studied by means of strict systems of polynomial extensions and complete (also called "saturated") distinguished chains. Strong connections are developed here between these two approaches and applications made to both. In the tame case in which a root α of an irreducible
Brown, Ron, Merzel, Jonathan L.
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Invariant Polynomials

2007
Abstract Our ultimate goal is to find the relation between equivarian dynamical systems and locally identical (“locally diffeomorphic”) invariant dynamical systems. This is the cover and image problem. The image dynamical system is always expressed in terms of invariant polynomials.
Robert Gilmore, Christophe Letellier
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KdV-invariant polynomial functionals

Journal of Mathematical Physics, 1987
It is proved that the algebra of the KdV-invariant polynomial functionals on the space of C∞ functions on the one-dimensional torus is isomorphic to the polynomial algebra of the infinite number of the conserved quantities found by Miura, Gardner, and Kruskal [J. Math. Phys. 9, 1204 (1968)].
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Polynomial invariants of graphs II

Graphs and Combinatorics, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Negami, Seiya, Ota, Katsuhiro
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Polynomial Invariant Rings

2011
In this chapter, we study representations of groups which have polynomial rings of invariants. In characteristic 0, this happens if and only if the group is a reflection group.
H. E. A. Eddy Campbell, David L. Wehlau
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GORDIAN DISTANCE AND POLYNOMIAL INVARIANTS

Journal of Knot Theory and Its Ramifications, 2011
Some evaluations of the Gordian distance from a knot to another knot are given by using three polynomial invariants called the HOMFLY polynomial, the Jones polynomial and the Q-polynomial. Furthermore, Gordian distances between a lot of pairs of knots are determined.
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Computing the Invariant Polynomials of a Polynomial Matrix. II

Journal of Mathematical Sciences, 2004
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