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arXiv · 0806.1401

A remark on the rational cohomology of $\bar{S}_{1,n}$

Gilberto Bini·Claudio Fontanari
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Abstract

We focus on the rational cohomology of Cornalba's moduli space of spin curves of genus 1 with $n$ marked points. In particular, we show that both its first and its third cohomology group vanish and the second cohomology group is generated by boundary classes.

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Gilberto Bini, Claudio Fontanari. 2008-06-09. A remark on the rational cohomology of $\bar{S}_{1,n}$. https://arxiv.org/abs/0806.1401

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