• Corpus ID: 119297945

Simple loops on punctured surfaces and boundaries of character varieties

@article{Whang2016SimpleLO,
  title={Simple loops on punctured surfaces and boundaries of character varieties},
  author={Junho Peter Whang},
  journal={arXiv: Algebraic Geometry},
  year={2016}
}
  • J. Whang
  • Published 8 December 2016
  • Mathematics
  • arXiv: Algebraic Geometry
We prove that every relative moduli space of complex special linear local systems of rank two on a punctured surface is log Calabi-Yau, in that it has a normal projective compactification with anticanonical boundary divisor. We connect this to another result that the generating series for multicurves counted by word length on a punctured surface satisfies a universal symmetry. 
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