Conformal Geometry and Dynamics

Author(s): J. O. Button
Journal: Conform. Geom. Dyn. 4 (2000), 97-107.
MSC (2000): Primary 20H10; Secondary 32G15
Posted: August 23, 2000
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We realise the Teichmüller space of the twice-punctured torus as a set of triples of matrices that are suitably normalised. As a consequence, we see the space as a simple open subset of $\mathbb R^4$ which is obtained directly from the matrix entries. We also discuss the connection between this representation and the one in terms of the traces of elements.

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