Noncommutative geometry and Painlevé equations

Andrei Okounkov; Eric Rains

doi:10.2140/ant.2015.9.1363

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Home > Journals > Algebra Number Theory > Volume 9 > Issue 6 > Article

2015 Noncommutative geometry and Painlevé equations

Andrei Okounkov, Eric Rains

Algebra Number Theory 9(6): 1363-1400 (2015). DOI: 10.2140/ant.2015.9.1363

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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.

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Andrei Okounkov. Eric Rains. "Noncommutative geometry and Painlevé equations." Algebra Number Theory 9 (6) 1363 - 1400, 2015. https://doi.org/10.2140/ant.2015.9.1363