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This article is cited in 8 scientific papers (total in 8 papers)
Dynamics on Wild Character Varieties
Emmanuel Paula, Jean-Pierre Ramisba a Institut de Mathématiques de Toulouse, CNRS UMR 5219,
Équipe Émile Picard, Université Paul Sabatier (Toulouse 3), 118 route de Narbonne, 31062 Toulouse CEDEX 9, France
b Institut de France (Académie des Sciences)
Abstract:
In the present paper, we will first present briefly a general research program about the study of the “natural dynamics” on character varieties and wild character varieties. Afterwards, we will illustrate this program in the context of the Painlevé differential equations $P_{\mathrm{VI}}$ and $P_{\mathrm{V}}$.
Keywords:
character varieties; wild fundamental groupoid; Painlevé equations.
Received: March 26, 2014; in final form August 5, 2015; Published online August 13, 2015
Citation:
Emmanuel Paul, Jean-Pierre Ramis, “Dynamics on Wild Character Varieties”, SIGMA, 11 (2015), 068, 21 pp.
Linking options:
https://www.mathnet.ru/eng/sigma1049 https://www.mathnet.ru/eng/sigma/v11/p68
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