A question in R.C.Penner's paper about Teichmuller space - MathOverflow most recent 30 from http://mathoverflow.net2013-06-19T16:21:24Zhttp://mathoverflow.net/feeds/question/39700http://www.creativecommons.org/licenses/by-nc/2.5/rdfhttp://mathoverflow.net/questions/39700/a-question-in-r-c-penners-paper-about-teichmuller-spaceA question in R.C.Penner's paper about Teichmuller spaceHao2010-09-23T06:10:58Z2010-09-23T22:47:04Z
<p>In R.C.Penner "Decorated Teichmuller theory of boarded surface", on Page 7 and 8, it says that (without proof) the Teichmuller space of surface with $s$ labelled punctures and $r$ labelled boundary components and one marked point on each boundary is homeomorphic to an open ball of dimension $6g-6+2s+4r$, where is the proof of that?I never see the version of T space that has marked points on the boundary, is also that they all homeomorphic to a ball like usual? Is there any reference about this?Thank you!</p>
http://mathoverflow.net/questions/39700/a-question-in-r-c-penners-paper-about-teichmuller-space/39709#39709Answer by Kevin Lin for A question in R.C.Penner's paper about Teichmuller spaceKevin Lin2010-09-23T07:19:22Z2010-09-23T07:19:22Z<p>Just look up <a href="http://www.google.com/search?q=teichmuller+theory" rel="nofollow">Teichmuller theory</a> on the Internet; there are plenty of references. For example see <a href="http://www.math.harvard.edu/~ctm/home/text/class/harvard/275/05/html/notes/rs/rs.pdf" rel="nofollow">these notes</a> by Curtis McMullen.</p>