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arXiv · 1905.02772

Quantised Painlev\'e monodromy manifolds, Sklyanin and Calabi-Yau algebras

Leonid Chekhov·Marta Mazzocco·Volodya Rubtsov
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Abstract

In this paper we study quantum del Pezzo surfaces belonging to a certain class. In particular we introduce the generalised Sklyanin-Painlev\'e algebra and characterise its PBW/PHS/Koszul properties. This algebra contains as limiting cases the generalised Sklyanin algebra, Etingof-Ginzburg and Etingof-Oblomkov-Rains quantum del Pezzo and the quantum monodromy manifolds of the Painlev\'e equations.

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BibTeXRIS

Leonid Chekhov, Marta Mazzocco, Volodya Rubtsov. 2019-05-07. Quantised Painlev\'e monodromy manifolds, Sklyanin and Calabi-Yau algebras. https://arxiv.org/abs/1905.02772

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