Mathematics – Classical Analysis and ODEs
Scientific paper
2011-04-27
Mathematics
Classical Analysis and ODEs
35 pages, 10 figures; Physica D (2012)
Scientific paper
10.1016/j.physd.2012.02.015
The distribution of the poles of branches of the Painleve' 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. The example of the Frobenius manifold given by the quantum cohomology of the two-dimensional complex projective space is also considered.
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