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On the geometry of $\bar{S}_2$

arXiv:math/0701874

Abstract

We investigate topological properties of the moduli space of spin structures over genus two curves. In particular, we provide a combinatorial description of this space and give a presentation of the (rational) cohomology ring via generators and relations.

The final version appeared on Internat. J. Math in 2009, an erratum has been kindly posted on arXiv by Sebastian Krug in 2010