Comments on: Hyperbolic Geometry Notes #3 – Teichmuller and Moduli Space http://lamington.wordpress.com/2010/04/13/hyperbolic-geometry-notes-3-teichmuller-and-moduli-space/ Sun, 14 Apr 2013 21:31:14 +0000 hourly 1 http://wordpress.com/ By: Rahul http://lamington.wordpress.com/2010/04/13/hyperbolic-geometry-notes-3-teichmuller-and-moduli-space/#comment-297 Wed, 21 Jul 2010 10:27:14 +0000 http://lamington.wordpress.com/?p=1192#comment-297 I could not understand the following paragraph :

We don’t really care about the loops and , so we’d like to find a group which takes one choice of loops to another and acts transitively. The quotient of this will be the set of flat metrics on the torus up to isometry, which is known as Moduli space.

Can u explain a little bit….

]]> By: aldenwalker http://lamington.wordpress.com/2010/04/13/hyperbolic-geometry-notes-3-teichmuller-and-moduli-space/#comment-242 Wed, 14 Apr 2010 06:07:24 +0000 http://lamington.wordpress.com/?p=1192#comment-242 Good point — thanks.

]]> By: Qiaochu Yuan http://lamington.wordpress.com/2010/04/13/hyperbolic-geometry-notes-3-teichmuller-and-moduli-space/#comment-241 Wed, 14 Apr 2010 05:39:28 +0000 http://lamington.wordpress.com/?p=1192#comment-241 You wanted to say \text{PSL}_2(\mathbb{Z}) instead of \text{PSL}_2(\mathbb{R}), probably.

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