%0 Journal Article %J Physica D: Nonlinear Phenomena, Volume 241, Issue 23-24, 1 December 2012, Pages 2188-2203 %D 2012 %T Poles Distribution of PVI Transcendents close to a Critical Point (summer 2011) %A Davide Guzzetti %K Painleve' equations %X The distribution of the poles of Painlevé VI transcendents associated to semi-simple Frobenius manifolds is determined close to a critical point. It is shown that the poles accumulate at the critical point,asymptotically along two rays. As an example, the Frobenius manifold given by the quantum cohomology of CP2 is considered. The general PVI is also considered. %B Physica D: Nonlinear Phenomena, Volume 241, Issue 23-24, 1 December 2012, Pages 2188-2203 %I Elsevier %G en %U http://hdl.handle.net/1963/6526 %1 6469 %2 Mathematics %4 1 %# MAT/07 FISICA MATEMATICA %$ Submitted by Davide Guzzetti (guzzetti@sissa.it) on 2013-03-12T10:23:20Z No. of bitstreams: 1 1104.5066v3.pdf: 539839 bytes, checksum: 5e2f0aa0a56736f91219709b51d0a970 (MD5) %R doi:10.1016/j.physd.2012.02.015