相关论文: Surface distance on knots
The paper had been withdrawn due to some technical problems. New version will be uploaded near future.
This paper has been withdrawn, see the replacement arXiv:1302.6670.
An expository article on Turaev surfaces written for "A Concise Encyclopedia of Knot Theory," to appear.
This paper has been withdrawn by the authors. We have discovered an error in the evaluation of the diagram, which invalidates our conclusion.
This paper has been withdrawn by the author. Proofs of two propositions need more details.
The paper has been withdrawn by the authors. See newer and expanded version quant-ph/0606221, published in Europhysics Letters 78, 30004 (2007).
This paper has been withdrawn.
This paper has been withdrawn.
This paper has been withdrawn by the author, because a better treatment is given in the author's Phd. thesis (Sections 3.4.6 and 4.4), now available on the arxiv.
In [D.A. Fedoseev, V.O. Manturov, A sliceness criterion for odd free knots,arXiv:1707.04923], the authors proved a sliceness criterion for odd free knots: free knots with odd chords. In the present paper we give a similar criterion for…
This paper has been withdrawn by the author due to the result being known
This paper has been withdrawn by the author.
This paper has been withdrawn by the author.
This paper has been withdrawn by the author because similar published work on the topic was overlooked. See S. Deser and A. Waldron, Nucl. Phys. B 631, 369-387 (2002).
This paper has been withdrawn by the authors. The authors have now written two separate papers, one theoretical (A. Smerzi, A. Trombettoni, P. G. Kevrekidis, and A. R. Bishop Phys. Rev. Lett. 89, 170402 (2002)) and one experimental (F. S.…
We study a notion of distance between knots, defined in terms of the number of saddles in ribbon concordances connecting the knots. We construct a lower bound on this distance using the X-action on Lee's perturbation of Khovanov homology.
This paper has been withdrawn by the authors, the main result being known since Lam and Leung, J. Algebra 2000.
This paper has been withdrawn by the author due to a coming paper completely superseding it.
The authors have withdrawn this paper.
In this article, we consider alternating knots on a closed surface in the 3-sphere, and show that these are not parallel to any closed surface disjoint from the prescribed one.