arXiv:1610.03768 Abstract | arXiv Analytics

arXiv:1610.03768 [math.GT]Abstract References Reviews Resources

The high-dimensional cohomology of the moduli space of curves with level structures

Published 2016-10-12Version 1

We prove that the moduli space of curves with level structures has an enormous amount of rational cohomology in its cohomological dimension. As an application, we prove that the coherent cohomological dimension of the moduli space of curves is at least g-2. Well known conjectures of Looijenga would imply that this is sharp.

Comments: 22 pages, 2 figures

Categories: math.GT, math.AG, math.AT

Keywords: moduli space, level structures, high-dimensional cohomology, rational cohomology

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