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arXiv · 1612.02518

Global geometry on moduli of local systems for surfaces with boundary

Junho Peter Whang
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Abstract

We show that every coarse moduli space, parametrizing complex special linear rank two local systems with fixed boundary traces on a surface with nonempty boundary, is log Calabi-Yau in that it has a normal projective compactification with trivial log canonical divisor. We connect this to a novel symmetry of generating series for counts of essential multicurves on the surface.

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Junho Peter Whang. 2016-12-08. Global geometry on moduli of local systems for surfaces with boundary. https://doi.org/10.1112/s0010437x20007241

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