Navigating Teichmüller Space
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Description: Graphical tool for visualising a tiling of a genus-2 Riemann surface by octagons.
Navigating Teichmüller Space Navigating Teichmüller Space Bowdoin College, Brunswick, Maine The Geometry Center, University of Minnesota e-mail: [email protected] My project this summer was one of several that endeavored to examine Riemann Surfaces and to create tools to aid in their study. A Riemann surface is a two-sided surface with an angle geometry on it. Because of this, we can talk about complex analytic maps from a surface to or to the Riemann sphere. Furthermore, it is this notion of angle that allows us to place a hyperbolic metric on the surfaces. Given a particular surface of genus , we can study the finite-dimensional space of all conformally inequivalent Riemann surfaces (i.e. surfaces with different geometries), which is known as its Teichmüller space.
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| Page title: | Navigating Teichmüller Space |
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| Date | activated: 18-Jul-1985 last updated: 22-Mar-2011 expires: 31-Jul-2014 |