Related papers: An invariant for flat virtual knots

This paper is being withdrawn by the author due a serious flaw.

This paper has been withdrawn by the author due to a crucial argument error at p.10.

This paper has been withdrawn by the authors, due to a crucial error in beta functions.

This paper has been withdrawn by the author, due an error in the proof of Proposion 2.13.

This paper has been withdrawn by the author due to a crucial sign error in equation 1.

This paper has been withdrawn by the author due to a crucial error in example.

This paper has been withdrawn by the author.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.

This paper has been withdrawn by the author due to a crucial error.

This paper has been withdrawn by the author due to errors.

This paper has been withdrawn due to a crucial error in the proof of the main theorem

This paper has been withdrawn due to a crucial theoretical and experimental error.

This paper has been withdrawn by author due to an error in the proof.

The paper has been withdrawn due to a crucial error in section 3.

This paper was withdrawn by the author due to a fatal error.

This paper has been withdrawn by the author due to an error in the last paragraph of step 2 of the main proof, on page 6.

This paper has been withdrawn by the authors due to a crucial error.

This paper has been withdrawn by the author due to a crucial sign error in Theorem 3.4.

This paper has been withdrawn by the author, due a crucial error in the optimization. For the last one month I have been trying to remove the error, but it seems to take a lot of time so I decided to withdraw this paper for the moment.

The paper was withdrawn by the author. Further research is needed.

This paper was withdrawn by the author due to an edition's rights