Related papers: Some pseudo-Anosov maps on punctured Riemann surfa…

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This paper has been withdrawn by the author.

This paper has been withdrawn, as it has been merged into arXiv:1009.6144

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This paper is withdrawn by the author.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

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We show that any pseudo-Anosov map that is a lift of pseudo-Anosov homeomorphism of a nonorientable surface has vanishing SAF invariant. We also provide a criterion to certify that a pseudo-Anosov map is not such a lift.

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Withdrawn due to an incompleteness of the main results.

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This paper has been withdrawn by the author due to a crucial error.

This paper has been withdrawn by the author, due to an error in Proposition 2.2.

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This paper has been withdrawn by the author.The formula which was proposed gives only a second order deformation.

This paper has been withdrawn by the author.