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math.AG2012
The fine structure of Kontsevich-Zorich strata for genus 3
Eduard Looijenga, Gabriele Mondello
We give a description of the Kontsevich-Zorich strata for genus 3 in terms of root system data. For each non-open stratum we obtain a presentation of its orbifold fundamental group…
math.AG2012★ 1 cited
Cohomological amplitude for constructible sheaves on moduli spaces of curves
Eduard Looijenga
We give bounds for the cohomology of constructible sheaves on the moduli stacks M_{g,n} over the complex field. This enables us recover Harer's bound for the virtual cohomological…