Shawn Rafalski, Williams College
Immersed Hyperbolic Turnovers
Take two copies of a hyperbolic triangle whose interior angles are integer
submultiples of pi, and identify these two triangles together in the
natural way along their boundaries. The result is called a hyperbolic
turnover, and is a specific example of a hyperbolic 2-orbifold. In this
talk, we will see that mapping a turnover by an immersion (which is not an
embedding) into a hyperbolic 3-orbifold places strong restrictions on
(among other things) the volume of the 3-orbifold.
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