Orbitwise countings in H(2) and quasimodular forms
classification
🧮 math.GT
math.NT
keywords
countingsformsformulaequasimodularadmitconjecturedfunctionsgenerating
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We prove formulae for the countings by orbit of square-tiled surfaces of genus two with one singularity. These formulae were conjectured by Hubert & Leli\`{e}vre. We show that these countings admit quasimodular forms as generating functions.
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