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- W2891567650 abstract "This paper applies methods of Van der Put and Van derPut-Saito to the fourth Painleve equation. One obtains a Riemann--Hilbert correspondence between moduli spaces of rank two connections on $mathbb{P}^1$ and moduli spaces for the monodromy data. The moduli spaces for these connections are identified with Okamoto--Painleve varieties and the Painleve property follows. For an explicit computation of the full group of Backlund transformations, rank three connections on $mathbb{P}^1$ are introduced, inspired by the symmetric form for ${rm PIV}$ as was studied by M. Noumi and Y. Yamada." @default.
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- W2891567650 date "2012-07-18" @default.
- W2891567650 modified "2023-09-27" @default.
- W2891567650 title "A Riemann--Hilbert approach to Painlev'e IV" @default.
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