• Corpus ID: 127539537

Diophantine Analysis on Moduli of Local Systems

  title={Diophantine Analysis on Moduli of Local Systems},
  author={Junho Peter Whang},
We develop a Diophantine analysis on moduli of special linear rank two local systems over surfaces with prescribed boundary traces. We first show that such a moduli space is a log Calabi-Yau variety if the surface has nonempty boundary, and relate this property to a symmetry of generating series for combinatorial counts of essential multicurves on surfaces. We establish the finiteness of “class numbers” for integral orbits of mapping class group dynamics on the moduli space, generalizing a… 

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