# The hyperbolic meaning of the Milnor–Wood inequality

@article{Mathews2010TheHM, title={The hyperbolic meaning of the Milnor–Wood inequality}, author={Daniel V. Mathews}, journal={Expositiones Mathematicae}, year={2010}, volume={30}, pages={49-68} }

Abstract We introduce a notion of the twist of an isometry of the hyperbolic plane. This twist function is defined on the universal covering group of orientation-preserving isometries of the hyperbolic plane, at each point in the plane. We relate this function to a function defined by Milnor and generalised by Wood. We deduce various properties of the twist function, and use it to give new proofs of several well-known results, including the Milnor–Wood inequality, using purely hyperbolic… CONTINUE READING

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