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This paper has been withdrawn by the author due to a mistake in the section 4.

Complex Variables · Mathematics 2013-04-30 Su-Jen Kan

This paper has been withdrawn since we combine this paper with math.AC/0503685. All contents of the paper have been moved to math.AC/0503685.

Commutative Algebra · Mathematics 2008-02-12 Satoshi Murai , Takayuki Hibi

This paper has been withdrawn by the author. The content of the previous versions is now covered by the more recent papers - math.DG/0610252 (concerning the Lie group structuren on the gauge groups) - math.DG/0612522 (concerning the weak…

Mathematical Physics · Physics 2009-09-29 Christoph Wockel

This paper has been withdrawn by the authors due to the paper is far from complishment.

High Energy Physics - Theory · Physics 2011-11-10 Jin-zhang Tang , Bin Chen , Shi Pi

This paper has been withdrawn as it has been superseded by 0808.2697

Quantum Physics · Physics 2008-08-20 Alioscia Hamma , Daniel A. Lidar

This paper has been withdrawn.

Quantum Physics · Physics 2007-05-23 Zhan Xu , Bei Zeng

This paper has been withdrawn by the author due to the inaccurate result.

High Energy Physics - Theory · Physics 2008-08-31 Yi-Shi Duan , Li-Da Zhang , Yu-Xiao Liu

This paper has been withdrawn by the authors. Because of a misunderstanding, the paper was submitted prematurely to the arXiv. A replacement will follow.

Mathematical Physics · Physics 2010-01-09 Christoph Sachse , Partha Guha , Chandrashekar Devchand

This paper has been withdrawn by the authors. Some of the arguments developed in the paper are erroneous. They will be rectified in a later publication.

Nuclear Theory · Physics 2009-01-10 Gerald E. Brown , Masayasu Harada , Jeremy W. Holt , Mannque Rho , Chihiro Sasaki

This paper has been withdrawn, since it contains a corollary with impossible consequences and the source of an error is currently unknown.

Functional Analysis · Mathematics 2008-05-28 Fernando Rambla , Jarno Talponen

This paper has been withdrawn by the corresponding author because the newest version is now published in Discrete Applied Mathematics.

Computational Complexity · Computer Science 2010-09-02 Sylvain Guillemot , Francois Nicolas , Vincent Berry , Christophe Paul

It is not hard to find many complete bipartite graphs which are not determined by their spectra. We show that the graph obtained by deleting an edge from a complete bipartite graph is determined by its spectrum. We provide some graphs, each…

Combinatorics · Mathematics 2016-01-27 Chia-an Liu , Chih-wen Weng

This paper has been withdrawn by the author due to rewritting and skipping crucial sign errors.

Mathematical Physics · Physics 2012-08-08 Juergen Geiser , Julia Duras , Ralf Schneider , Konstantin Matyash , David Tskhakaya , O. Kalentyev

The paper was done as an assigned Princeton university project. It is being withdrawn since it needs to be changed and updated substantially.

Disordered Systems and Neural Networks · Physics 2011-02-15 Fariel Shafee

This paper has been withdrawn because there is a fundamental error in the computations; with the right computational scheme it seems to be just a version of the Jones polynomial

Geometric Topology · Mathematics 2010-07-28 Louis H. Kauffman , Simon King , Sostenes Lins

This paper has been withdrawn by the author(s), due the final version in math.QA/0604564

Algebraic Geometry · Mathematics 2007-05-23 Jie Xiao , Fan Xu , Guanglian Zhang

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.

General Topology · Mathematics 2009-11-09 A. Chigogidze

This paper has been withdrawn by the authors due to need of essential revision.

High Energy Physics - Theory · Physics 2008-08-28 T. Mariz , J. R. Nascimento , A. Yu. Petrov , A. F. Santos , A. J. da Silva

This article has been withdrawn due to an error in a proof of the main result.

Algebraic Topology · Mathematics 2011-04-15 Mark Grant

The article is withdrawn. Its content is contained in the final version of arXiv:0805.1634.

Number Theory · Mathematics 2012-02-29 Gerasimos Dousmanis