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}
}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.
5 Citations
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