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arxiv: 1404.5938 · v1 · submitted 2014-04-23 · 🧮 math.AG · math-ph· math.MP· nlin.SI

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Noncommutative geometry and Painlev\'e equations

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classification 🧮 math.AG math-phmath.MPnlin.SI
keywords dimensionalnoncommutativepainlevactionanalogsbundlesconstructelliptic
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We construct the elliptic Painlev\'e equation and its higher dimensional analogs as the action of line bundles on 1-dimensional sheaves on noncommutative surfaces.

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