The pentagram map and Y-patterns |
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Authors: | Max Glick |
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Institution: | Department of Mathematics, University of Michigan, Ann Arbor, MI 48109, USA |
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Abstract: | The pentagram map, introduced by R. Schwartz, is defined by the following construction: given a polygon as input, draw all of its “shortest” diagonals, and output the smaller polygon which they cut out. We employ the machinery of cluster algebras to obtain explicit formulas for the iterates of the pentagram map. |
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Keywords: | MSC: 13F60 05A15 51A05 |
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