Vol. 9, No. 6, 2015

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Noncommutative geometry and Painlevé equations

Andrei Okounkov and Eric Rains

Vol. 9 (2015), No. 6, 1363–1400
Abstract

We construct the elliptic Painlevé equation and its higher dimensional analogs as the action of line bundles on $1$-dimensional sheaves on noncommutative surfaces.

Keywords
noncommutative geometry, Painlevé equations
Primary: 14A22