Divisors in the moduli spaces of curves

Details Divisors in the moduli spaces of curves Divisors in the moduli spaces of curves

2008-10-29

arxiv.org/abs/0810.5373v2

Mathematics

Algebraic Geometry

18 pages, 1 figure; written for Surveys in Differential Geometry. Minor mistakes corrected, references added

Scientific paper

In this mostly expository paper we review several known results about the
cohomology of moduli spaces of smooth and stable curves, focusing in particular
on low degree cohomology. We also give a new proof of Harer's theorem
describing the second cohomology group of the moduli space of smooth n-pointed
curves of given genus

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