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arXiv · 0911.2895

On Quadrirational Yang-Baxter Maps

V. G. Papageorgiou·Yu. B. Suris·A. G. Tongas·A. P. Veselov
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Abstract

We use the classification of the quadrirational maps given by Adler, Bobenko and Suris to describe when such maps satisfy the Yang-Baxter relation. We show that the corresponding maps can be characterized by certain singularity invariance condition. This leads to some new families of Yang-Baxter maps corresponding to the geometric symmetries of pencils of quadrics.

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BibTeXRIS

V. G. Papageorgiou, Yu. B. Suris, A. G. Tongas, A. P. Veselov. 2010-04-16. On Quadrirational Yang-Baxter Maps. https://doi.org/10.3842/sigma.2010.033

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