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In this paper we study the superfluid density of the two component Fermi gas in optical lattices with population imbalance. Three different type of phases, the BCS-state (Bardeen, Cooper, and Schrieffer), the FFLO-state (Fulde, Ferrel,…

This paper has been withdrawn by the author,due a immature idea.

This paper has been withdrawn by the author due to essential mistakes in some previous versions.

This paper has been withdrawn.

This paper has been withdrawn by the author due to an error in section 7. There is a new version: arXiv:1011.3352.

This paper has been withdrawn by the author due to a some errors in figures 2 and 3.

This paper has been withdrawn by the author due to a crucial error in the formulation.

This paper has been withdrawn by the author, due a critical mistake on page 3.

This paper has been withdrawn by the author, due to a significant error in section 4.3.1.

This paper has been withdrawn by the author, due to an important sign error in Eqn. 2.

withdrawn by the authors because of an error.

This paper has been withdrawn.

This paper has been withdrawn by the authors, due a crucial error.

The paper was withdrawn by the author. It contained various errors.

This paper is withdrawn because of an error in Lemma 3.1

This paper has been withdrawn by the author due to a crucial sign error in equation 1.

This paper has been withdrawn by the author.

This paper has been withdrawn by the author due to a crucial errors.

This paper has been withdrawn by the authors due to a mistake in one of the proofs

This paper has been withdrawn temporarily.