Is there a reference showing that the space $\bar{M_{g,n}}$ is a closed oriented orbifold and it is hausdorff - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-22T15:57:51Z http://mathoverflow.net/feeds/question/30575 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/30575/is-there-a-reference-showing-that-the-space-barm-g-n-is-a-closed-oriented Is there a reference showing that the space $\bar{M_{g,n}}$ is a closed oriented orbifold and it is hausdorff HYYY 2010-07-05T00:39:48Z 2010-07-05T03:21:42Z <p>Is there a reference showing that the space $\bar{M_{g,n}}$ is a closed oriented orbifold and it is Hausdorff? Note: here $\bar{M_{g,n}}$ is not the Deligne-Mumford space in the usual algebraic geometry; it is the moduli space for smooth or nodal Riemann surfaces with genus $g$ and $n$ marked smooth points such that it satisfies the stability condition. Thanks!</p>