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Jul 3, 2010 at 21:32 history edited algori CC BY-SA 2.5
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Jul 3, 2010 at 21:29 answer added algori timeline score: 1
Jul 3, 2010 at 8:55 answer added Jeffrey Giansiracusa timeline score: 9
Jul 3, 2010 at 8:47 history edited Charles Matthews CC BY-SA 2.5
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Jul 3, 2010 at 6:01 comment added Kevin H. Lin In any case, it sounds like you should read about moduli spaces of stable curves, and moduli spaces of stable maps, and virtual fundamental classes. The book "Mirror Symmetry and Algebraic Geometry" by Cox and Katz has a good overview of all of this material from both the algebraic geometry and the symplectic geometry perspectives.
Jul 3, 2010 at 5:50 comment added Kevin H. Lin Your question is not very well written. You should try to improve it. For example, you might want to explain what you mean by "fundamental chain" on $\overline{M}_{g,n}/S_n$. You might also want to explain the $S_n$ action on $\overline{M}_{g,n}$ -- presumably you mean the action which permutes the marked points.
Jul 3, 2010 at 5:20 history asked mathphysics CC BY-SA 2.5