Related papers: Quantum Invariants of Knots and 3-Manifolds

The paper has been withdrawn by the author, due to a critical error stemming from the defined template.

The paper was retracted.

This paper has been withdrawn by the author and replaced by arXiv:0809.4751

The article is taken out.

Withdrawn by arXiv administration because authors have forged affiliations and acknowledgements, and have not adequately responded to charges [hep-th/9912039] of unattributed use of verbatim material.

This paper has been withdrawn by the author, due to the insecurity against attacks received in quant-ph/0605027v5.

This paper has been retracted, for obvious reasons.

This paper has been withdrawn by the author, due an error in computing the invariance of the so(4,1) and so(3,2) "inner product."

This paper has been withdrawn. (Reason) Its contents have been entirely superseded by the contents of the articles arXiv:0809.3444 and arXiv:0705.3070. There is no profitable reason to keep it alive. No material on it is however wrong.

Withdrawn by arXiv administration because authors have forged affiliations and acknowledgements, and have not adequately responded to charges [hep-th/9912039] of unattributed use of verbatim material.

This paper has been withdrawn by the author due to the incorrect argument for the security.

Withdrawn by arXiv administration because authors have forged affiliations and acknowledgements, and have not adequately responded to charges [hep-th/9912039] of unattributed use of verbatim material.

We use categories of representations of finite dimensional quantum groupoids (weak Hopf algebras) to construct ribbon and modular categories that give rise to invariants of knots and 3-manifolds.

This paper has been withdrawn by the author due to extremely unscientific errors.

This paper has been temporarily withdrawn for corrections.

This paper has been withdrawn by the author, due a crucial mistake in proof of lemma 4.2.

This paper was withdrawn by the author due to an edition's rights

This paper has been withdrawn. Its new version has been published.

This paper has been withdrawn

This preprint has been withdrawn.