相关论文: Surface distance on knots
The volume conjecture, formulated recently by H. Murakami and J. Murakami, is proved for the case of torus knots.
We introduce a relation of cobordism for knots in thickened surfaces and study cobordism invariants of such knots.
This paper has been withdrawn by the author due to a crucial sign error in equation 1
This is a facsimile of the circa 1990 unpublished manuscript with the same title. All the original text, figures and tables are included; although text has been reset in \TeX, the original hand-drawn figures have been redrawn digitally, and…
This paper has been withdrawn by the author.
This paper has been withdrawn by the authors.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This paper has been withdrawn by the author
This paper has been withdrawn by the author due to need for more improvement.
Discussion on "Brownian distance covariance" by G\'{a}bor J. Sz\'{e}kely and Maria L. Rizzo [arXiv:1010.0297]
Discussion on "Brownian distance covariance" by G\'{a}bor J. Sz\'{e}kely and Maria L. Rizzo [arXiv:1010.0297]
Discussion on "Brownian distance covariance" by G\'{a}bor J. Sz\'{e}kely and Maria L. Rizzo [arXiv:1010.0297]
This paper has been withdrawn by the author(s)
This paper has been withdrawn.
We point out some major technical and conceptual mistakes which invalidate the conclusion drawn in "Anyonic braiding in optical lattices" by C. Zhang, V. W. Scarola, S. Tewari, and S. Das Sarma published in PNAS 104, 18415 (2007).
This paper has been withdrawn by the authors because the results obtained have been reported earlier by other authors.
In math.GT/0002110 the author's Theorems 1.1 and 1.2, combined, implied that iterated torus knots are transversally simple. This result is in error and this erratum pin points the error. In "An addendum on iterated torus knots" a more…
Discussion on "Brownian distance covariance" by G\'abor J. Sz\'ekely and Maria L. Rizzo [arXiv:1010.0297]
We computationally explore non-coherent band attachments between low crossing number knots, using grid diagrams. We significantly improve the current H(2)-distance table. In particular, we find two new distance one pairs with fewer than…
This paper has been withdrawn by the author.
We have withdrawn this paper because we have presented the basic results in Brunini & Cionco (2005), Icarus 177, 264