Related papers: The module structure of the Sobolev limits

This is a corrigendum of Lemma 9.1 of the paper [FOOO3] in the title. This lemma is not correct as pointed out by A. Daemi and a referee of the paper [DF]. The corrigendum does not affect the applications of this lemma in [FOOO3] and other…

This paper has been withdrawn by the author, due to errors in the figures.

Major mistake. The paper has been withdrawn.

This paper has been withdrawn by the author due to a crucial error in one of equation in (3).

This paper is withdrawn due to some errors, which are corrected in arXiv:0912.0071v4 [cs.LG].

This paper has been withdrawn by the author due to a errors in figure 3,4

The paper has been withdrawn due to numerical error.

This paper has been withdrawn by the authors due to crucial error in the main proof (located in Section 2.4). The authors apologize for any inconveniences.

This paper has been withdrawn by the author due to a crucial error in the definition of homomorphism.

This paper has been withdrawn by the author due to a crucial definition error of Triebel space.

Due to a computational mistake this paper has been withdrawn.

This paper has been withdrawn by the author, due an error in claim 1.

This paper has been withdrawn by the author due a crucial error.

This paper has been withdrawn by the author due to a crucial sign error.

This paper has been withdrawn by the authors.

This paper has been withdrawn by the author since the proof of Lemma 8 is not correct.

This paper has been withdrawn by the author, due to errors in the figures.

This paper has been withdrawn, because the argument for generation of Goldstone modes is incorrect.

This paper has been withdrawn by the author due to incomplete interpretation for the results.

This paper has been withdrawn by the author due to a crucial argument error at p.10.