相关论文: The Teichm\"uller group is good

Paper withdrawn by authors. See new version in this same listing.

This paper is withdrawn due to some errors, which are corrected in arXiv:0912.0071v4 [cs.LG].

This paper has been withdrawn by the authors due to a crucial error.

Major mistake. The paper has been withdrawn.

This paper has been withdrawn by the author due to similarity to Author's other paper

This paper was withdrawn as it may have appeared elsewhere, although in a different form.

This paper has been withdrawn by the authors, because it has been made obsolete by the detailed expositions in our papers in arXiv:0812.4885 (the mathematics part) and arXiv:0812.4737 (the economics part).

This paper has been withdrawn by the author because there are some typos in proofs.

This paper has been withdrawn by the authors. A substantially altered paper will be submitted incorporating major corrections, additions and improvements.

This paper has been withdrawn because of serious errors.

This paper has been withdrawn by the authors, because the authors have second thought that the new ideas in this paper are better to be contained in another paper.

This paper has been withdrawn by the author due to incomplete interpretation for the results.

I also submitted this paper as math.GR/0112109... it is therefore withdrawn from math.GR/0104076

This paper has been withdrawn by the author. It will be replaced, substantially modified, by sections of the author's completed PhD thesis.

This paper has been withdrawn, because it is subsumed by the new preprint arXiv:0806.4540 .

The paper has been withdrawn

Paper withdrawn because of a gap in the proof of Proposition 3 of Thomas Schick: "Integrality of L2-Betti numbers", Math. Ann. 317, 727-750 (arXiv.org/abs/math.gt/0001101). Most results of the withdrawn paper were based on this proposition.

This paper has been withdrawn by the author due to an erro thereon line -2 of page 4.

There have been gaps found in the proofs. The paper is withdrawn until further notice.

This paper has been withdrawn by the author(s). Please see arXiv:0711.3910 for revision.