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Global geometry on moduli of local systems for surfaces with boundary (1612.02518v2)
Published 8 Dec 2016 in math.AG and math.GT
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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