• Corpus ID: 117083333

Invariants of links of Conway type

@article{Przytycki1988InvariantsOL,
  title={Invariants of links of Conway type},
  author={J{\'o}zef H. Przytycki and Paweł Traczyk},
  journal={arXiv: Geometric Topology},
  year={1988}
}
The purpose of this paper is to present a certain combinatorial method of constructing invariants of isotopy classes of oriented tame links. This arises as a generalization of the known polynomial invariants of Conway and Jones. These invariants have one striking common feature. If L+, L- and L0 are diagrams of oriented links which are identical, except near one crossing point (as in Conway or Jones polynomials), then an invariant w(L) has the property: w(L+) is uniquely determined by w(L-) and… 
Skein Modules of 3-Manifolds
It is natural to try to place the new polynomial invariants of links in algebraic topology (e.g. to try to interpret them using homology or homotopy groups). However, one can think that these new
Postlude. A Universal Knot Invariant
In Section 1 we present the concept of a knot invariant of finite type and prove that all quantum group invariants are of finite type. Then we con-struct a universal knot invariant Z(K) of finite
Remarks on the invariants valued in the generalization of Conway algebra
In~\cite{Kim} the author generalized the Conway algebra and constructed the invariant valued in the generalized Conway algebra defined by applying two skein relations to crossings, which is called a
Link invariants via counting surfaces
A Gauss diagram is a simple, combinatorial way to present a knot. It is known that any Vassiliev invariant may be obtained from a Gauss diagram formula that involves counting (with signs and
Survey on recent invariants on classical knot theory
The survey we are presenting is over 22 years old but it has still some ideas which where never published (except in Polish). This survey is the base of the third Chapter of my book: KNOTS: From
Isotopy invariants of graphs
The development of oriented and semioriented algebraic invariants associated to a class of embeddings of regular four valent graphs is given. These generalize the analogous invariants for classical
INVARIANTS OF TOPOLOGICAL AND LEGENDRIAN LINKS IN LENS SPACES WITH A UNIVERSALLY TIGHT CONTACT STRUCTURE
INVARIANTS OF TOPOLOGICAL AND LEGENDRIAN LINKS IN LENS SPACES WITH A UNIVERSALLY TIGHT CONTACT STRUCTURE By Christopher R. Cornwell In this thesis a HOMFLY polynomial is found for knots and links in
Extending the Classical Skein
We summarize the theory of a new skein invariant of classical links H[H] that generalizes the regular isotopy version of the Homflypt polynomial, H. The invariant H[H] is based on a procedure where
New skein invariants of links
We study new skein invariants of links based on a procedure where we first apply a given skein relation only to crossings of distinct components, so as to produce collections of unlinked knots. We
Plane graphs and link invariants
...
...

References

SHOWING 1-10 OF 12 REFERENCES
On the Jones polynomial of closed 3-braids
In [J, 2] Vaughan Jones introduced a new polynomial VL(t ) which is an invariant of the isotopy type of an oriented knot or link L c S 3. The polynomial can be computed from an arbitrary
A polynomial invariant for knots via von Neumann algebras
Thus, the trivial link with n components is represented by the pair (l ,n), and the unknot is represented by (si$2 * * • s n i , n) for any n, where si, $2, • • • > sn_i are the usual generators for
On closed 3-braids
On closed 3-braids, Memoirs AMS 151 1974
    Combinatorics and knot theory
    • Contemporary Mathematics,
    • 1983
    ...
    ...