相关论文: Surface distance on knots
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This paper has been withdrawn by the author since the comments have been withdrawn.
This paper has been withdrawn by the author due to a crucial error in the proof of Theorem 1.
This paper has been withdrawn.
Let M be a closed 3-manifold with a given Heegaard splitting. We show that after a single stabilization, some core of the stabilized splitting has arbitrarily high distance with respect to the splitting surface. This generalizes a result of…
This paper has been withdrawn by the author due to an error
This paper has been withdrawn by the author due to a gap in the proof of the main result.
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Following the overall strategy of the paper ``Convex hypersurfaces in contact topology" by Ko Honda and Yang Huang on contact convexity in high dimensions, we present a simplified proof of their main result.
This paper has been withdrawn. The authors realized that the obtained results were not new.
This paper has been withdrawn by the author.
This paper has been withdrawn.
The paper has bene withdrawn by the author.
This paper has been withdrawn by the authors due to the fact that the webs considered in the paper are ``Veronese-like webs'' which are different from Veronese webs.
The contents of this 6-page paper have been subsumed into the 13-page paper, "A note on closed 3-braids", arXiv:0802.1072 [math.GT]. This paper is correct, but contains less information than the new one. The topological classification of…
This paper was withdrawn by the author.
We introduce a new type of distinct distances result: a lower bound on the number of distances between points on a line and points on a two-dimensional strip. This can be seen as a generalization of the well-studied problems of distances…
We construct two distinct yet related M-theory models that provide suitable frameworks for the study of knot invariants. We then focus on the four-dimensional gauge theory that follows from appropriately compactifying one of these M-theory…
We study surface knots in 4-space by using generic planar projections. These projections have fold points and cusps as their singularities and the image of the singular point set divides the plane into several regions. The width (or the…
This submission has been withdrawn at the request of the author.