相关论文: Surface distance on knots
The main result of this paper, Simon's conjecture for fibered knots, was previously proven by Silver and Whitten math.GT/0405462 with essentially the same proof. This paper is therefore being withdrawn. The author would like to apologize…
This article is an English translation of Japanese article "Musubime to Kyokumen", Math. Soc. Japan, Sugaku Vol. 67, No. 4 (2015) 403--423. It surveys a specific area in Knot Theory concerning surfaces in knot exteriors. In version 2, we…
This paper has been withdrawn by the author, due to a significant error in section 4.3.1.
This paper has been withdrawn by the author. Much simpler proof of the main result was obtained which led to major changes in the presentation.
The paper has been withdrawn by the author, due to a critical error stemming from the defined template.
J. Hempel's definition of the distance of a Heegaard surface generalizes to a complexity for a knot which is in bridge position with respect to a Heegaard surface. Our main result is that the distance of a knot in bridge position is bounded…
The author would like to report an error of [T. Ito, Proc. Amer. Math. Soc. 152 (2024), pp. 4515--4519.] (version 1 of the arXiv:2311.08676) )
This paper has been withdrawn by the authors, as it was combined with "Conformally invariant energies of knots I" (math/0409396) to be "Conformally invariant energies of knots" which has replaced the former.
The paper has been withdrawn by the author because the result obtained has been reported earlier by other authors.
Withdrawn and replaced by two related manuscripts: (1) "Stabilization in the braid groups I:MTWS", published in Geometry and Topology Volume 10 (2006), 413-540, arXiv:math.GT/0310279, and (2) "Stabilization in the braid groups II:…
This paper has been withdrawn by the author due to errors and bad formalization.
This paper has been withdrawn because it has been by far superseded by the Author's post arXiv:1108.1306v6, which was published on 30/08/2011.
This paper has been withdrawn by the author due to an error in the sufficient condition given for the proof of the Tate conjecture for Catanese surfaces.
This paper has been withdrawn, because relevant publications, related to the subject of the paper, were overlooked by the author.
The paper has been withdrawn by authors.
This paper has been withdrawn by the author due to the inaccurate result.
This paper has been withdrawn by the authors.
This paper has been withdrawn by the authors as requested by the journal.
This paper has been withdrawn by the authors due to new available results. A revised version, that incorporates the new results, will be submitted later.
This paper was withdrawn by the authors due to significant new findings. A new paper on the same topic has been submitted as physics/0310159.