Reference about Moduli Spaces of Riemann surfaces

Asked Nov 01 '13 at 11:40

Active Nov 01 '13 at 19:14

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I'm looking for some (introductory, and in any case not too technical) reference (book, lecture notes, papers) regarding

moduli spaces $\mathcal{M}_g$ and $\mathcal{M}_{g,n}$ of (punctured) Riemann surfaces, then Teichmuller spaces, its dimension, and the application of Riemann-Roch to $\mathcal{M}_g$
generalization to unoriented and open setup, in particular Weichold theorem and the covering space construction
relation of the above with moduli spaces of stable maps, particularly the work of Kontsevich using decorated graphs to count maps

edited Nov 01 '13 at 19:14

asked Nov 01 '13 at 11:40

jj_p

3

The first place I'd look is Farb & Margalit, Primer on Mapping Class Groups. – Neal Nov 01 '13 at 12:34
You might find the answer to this post interesting. – Cantlog Nov 01 '13 at 18:39

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