Related papers: An invariant for flat virtual knots

This paper has been withdrawn by the author due to rewritting and skipping crucial sign errors.

This paper has been withdrawn by the author.

This paper has been withdrawn.

This paper has been withdrawn by the author.

This paper has been withdrawn while the author verifies the literature.

This paper has been withdrawn by the authors, due a oversimplified decoherence model. It will be substituted by a new work.

This paper has been withdrawn by the authors

This paper has been withdrawn.

This paper has been withdrawn.

The paper has been withdrawn by the author because the result obtained has been reported earlier by other authors.

This paper has been withdrawn by the author(s), due the final version in math.QA/0604564

The paper has been withdrawn by the author due to a the manuscript error.

This paper has been withdrawn by the author due to a crucial sign error in equation 1.

This paper has been withdrawn by the author due to errors.

The paper has been withdrawn by authors.

This paper has been withdrawn by the author.

This paper has been withdrawn by the author

This paper describes a polynomial invariant of virtual knots that is defined in terms of an integer labeling of the virtual knot diagram. This labeling is seen to derive from an essentially unique structure of affine flat biquandle for flat…

The paper has been withdrawn by the autors. The proposed code is not working because orthogonality.

There have been comments on this paper which point out unclear motivation and definitions on noncommutative momentum introduced. Therefore, this paper is withdrawn by the author for more clear presentation.