Related papers: A calculus for shadows of smooth 4-manifolds

This paper has been withdrawn by the author due to the gaps in the proofs of Proposition 2.2 and Proposition 3.2

This paper has been withdrawn by the author due to a mistake in the proof of the main theorem.

This paper has been withdrawn by the author due to serious flaws in certain proofs. For instance, the method used to construct certain automorphic representations is flawed.

This paper has been withdrawn by the author due to an error.

This paper has been withdrawn by the author, due to errors in Groebner basis calculations in the cases of five and six dimensional groups.

This paper has been withdrawn by the author due to a crucial sign error in equation 1.

This paper has been withdrawn by the authors due to a likely hole in the proof.

This paper has been withdrawn by the author due to a serious gap in the proof of the main theorem.

In this note we fill a gap in the proof of the main theorem (Theorem 1.2) of our paper 'Surfaces in 4-manifolds', Math. Res. Letters 4 (1997), 907-914.

This paper has been withdrawn by the author due to incomplete interpretation for the results.

This paper has been withdrawn because of serious errors.

This paper has been withdrawn by the author due to a crucial sign error in Theorem 3.4.

This paper has been withdrawn by the author.

This paper has been withdrawn by the author due to its main result being included in cond-mat/0403309 by the same author.

This paper has been withdrawn by the author due to a crucial error in the proofs. The error has been corrected and the paper has been expanded in arXiv:0910.5327

This paper has been withdrawn by the author due to a crucial error in Lemma 3.5.

This paper has been withdrawn by the author since the comments have been withdrawn.

This paper has been withdrawn due to an error in the proof of Theorem 5.3.

This paper has been withdrawn.

This paper has been withdrawn by the author due to a sheaf-theoretic error, in the end of the proof of the main theorem.