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Cluster topography

math.CO · 2026-04-17 · unverdicted · novelty 4.0

Conway's topograph is recast as a cluster algebra construction, endowing Painlevé VI analytic continuation and quadratic form reduction with the Laurent phenomenon and completing the snake-graph-to-rationals bijection via the rattlesnake.

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  • Cluster topography math.CO · 2026-04-17 · unverdicted · none · ref 7

    Conway's topograph is recast as a cluster algebra construction, endowing Painlevé VI analytic continuation and quadratic form reduction with the Laurent phenomenon and completing the snake-graph-to-rationals bijection via the rattlesnake.