Related papers: Surface distance on knots

Suppose M is a closed irreducible orientable 3-manifold, K is a knot in M, P and Q are bridge surfaces for K and K is not removable with respect to Q. We show that either Q is equivalent to P or $d(K,P) \leq 2-\chi(Q-K)$. If K is not a two…

This paper has been withdrawn by the author due to its publication

This paper has been withdrawn due to non-clearness of some technical points, as well as lack of a reasonable statement of quantization conjecture.

This paper has been withdrawn Abstract: This paper has been withdrawn by the author due to the publication.

Some time ago Ranada (1989) obtained new nontrivial solutions of the Maxwellian gauge fields without sources. These were reinterpreted in Kholodenko (2015a) (part I) as particle-like (monopoles, dyons, etc.). They were obtained by the…

The primary objects of study in the ``knot theory of complex plane curves'' are C-links: links (or knots) cut out of a 3-sphere in the complex plane by complex plane transverse and totally tangential. Transverse C-links are naturally…

This paper has been withdrawn by the first author due to disagreement with experiments.

This paper has been withdrawn by the author due to the appearence of enlarged version with one new author name more (hep-ph/0012293).

Rejoinder to "Brownian distance covariance" by G\'abor J. Sz\'ekely and Maria L. Rizzo [arXiv:1010.0297]

This paper has been withdrawn by the author.

This paper has been withdrawn by the author due to essential mistakes in some previous versions.

This paper visualizes a knot reduction algorithm

In the following paper we continue the work of Bimonte-Lizzi-Sparano on distances on a one dimensional lattice. We succeed in proving analytically the exact formulae for such distances. We find that the distance to an even point on the…

Recently there had been a great deal of activity associated with various schemes of designing both analytical and experimental methods describing knotted structures in electrodynamics and in hydrodynamics.The majority of works in…

The paper has been withdrawn

This paper was withdrawn by the authors due to the belated discovery of a published paper showing similar results.

In this paper has been withrawn by the author due the error in the proof of theoem 1.

This paper has been withdrawn by the author(s) in the light of several other works available and due to a misunderstanding in the authorships.

This paper has been withdrawn by the authors as requested by the journal.

This paper has been withdrawn by the author due to similarity to Author's other paper