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.

Pole Distribution of PVI Transcendents close to a Critical Point

Guzzetti, Davide
2012-01-01

Abstract

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.
2012
241
23-24
2188
2203
http://www.sciencedirect.com/science/article/pii/S0167278912000528#
https://arxiv.org/abs/1104.5066
Guzzetti, Davide
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/12074
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