Download e-book for iPad: Foliations and the Geometry of 3-Manifolds (Oxford by Danny Calegari

By Danny Calegari

This specified reference, geared toward study topologists, supplies an exposition of the 'pseudo-Anosov' thought of foliations of 3-manifolds. This conception generalizes Thurston's idea of floor automorphisms and divulges an intimate connection among dynamics, geometry and topology in three dimensions. major topics back to during the textual content comprise the significance of geometry, in particular the hyperbolic geometry of surfaces, the significance of monotonicity, particularly in 1-dimensional and co-dimensional dynamics, and combinatorial approximation, utilizing finite combinatorical items akin to train-tracks, branched surfaces and hierarchies to hold extra advanced non-stop objects.

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Foliations and the Geometry of 3-Manifolds (Oxford Mathematical Monographs) by Danny Calegari

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