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Global geometry on moduli of local systems for surfaces with boundary
Published online by Cambridge University Press: 01 October 2020
Abstract
We show that every coarse moduli space, parametrizing complex special linear rank-2 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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- Copyright © The Author(s) 2020
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