相关论文: Surface distance on knots

This survey of some of the more topological aspects of the placement problem for complex curves in complex surfaces was originally published in L'Enseignement Mathematique 29 (1983). The present LaTeXed redaction corrects several…

We point out that the claim in Theorem 1.1 of Yashiro's paper ``Pseudo-cycles of surface-knots'' is not true, giving a counter example.

Although the results are correct, it was pointed out that the results follow from some previously known results. Accordingly, this version of the paper is withdrawn by the authors.

This paper has been withdrawn by the author, See J.Krishna Rao, J. Phys. A: Gen. Phys., 4, 17 (1971) for radiating Levi-Civita metric.

This paper has been withdrawn by the authors

The paper has been withdrawn by the author.

We introduce and study knotoids. Knotoids are represented by diagrams in a surface which differ from the usual knot diagrams in that the underlying curve is a segment rather than a circle. Knotoid diagrams are considered up to Reidemeister…

This paper has been withdrawn by the author.

This paper has been withdrawn by the author. The most updated version can be accessed by arXiv:1806.07290.

This paper has been withdrawn.

This paper has been withdrawn by the author due to the need for further revision.

This paper was withdrawn by the authors.

This paper has been withdrawn.

This paper has been withdrawn by the author for further modification.

These notes are based on the lectures given by the author during Winter Braids IX in Reims in March 2019. We discuss slice knots and why they are interesting, as well as some ways to decide if a given knot is or is not slice. We describe…

This paper has been withdrawn

This paper has been withdrawn by the author.

This paper was withdrawn by the author.

This paper has been withdrawn at the author's request.

This paper has been withdrawn by the author, due to the fact that a similar paper (quant-ph/9904075) has been published.