Related papers: On the Relative Dualising Sheaf of a Symplectic Le…

This paper is withdrawn by the author. See math.GT/9811093 for replacement.

This is an announcement of results proved in [GGS1], [GGS2], [C], and [CG] where methods from Lie theory were used as new tools for the study of symplectic Lefschetz fibrations.

Although the results are correct, it was pointed out that the results follow from some previously known results. Accordingly, this version of the paper is withdrawn by the authors.

This note is withdrawn. The result and its proof are available in the literature.

The paper has been withdrawn by authors.

This paper has been withdrawn by the authors.

This manuscript has been withdrawn by the author. Some of the material has been included in the manuscript 'Dualizing the Dual Standard Model' hep-ph/0102084.

This paper was withdrawn by the authors.

This paper has been withdrawn by the authors due to the paper is far from complishment.

This paper has been withdrawn

This paper has been withdrawn by the author due a crucial error.

This paper has been withdrawn by the authors

This paper has been withdrawn by the authors.

The paper is withdrawn by the authors and replaced be an improved and extended version arxiv: 0812.2968

This paper has been withdrawn by the authors.

Withdrawn by authors.

This paper has been withdrawn by the author.

This paper has been withdrawn by the authors. Significantly revised versions of the results of this paper are now available in arXiv:0707.0487v2 and arXiv:0808.3169v1.

The paper has been withdrawn by the authors. The contents of the paper will be used in a future communication which will contain major addition and shift of focus.

This paper has been withdrawn by the author due to some problems. Please contact me.