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Global geometry on moduli of local systems for surfaces with boundary

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 نشر من قبل Junho Peter Whang
 تاريخ النشر 2016
  مجال البحث
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 تأليف Junho Peter Whang




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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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