# Foliations and the Geometry of 3-Manifolds (Oxford by Danny Calegari

By Danny Calegari

This specific reference, geared toward learn topologists, provides 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 contain the significance of geometry, particularly the hyperbolic geometry of surfaces, the significance of monotonicity, particularly in 1-dimensional and co-dimensional dynamics, and combinatorial approximation, utilizing finite combinatorical gadgets comparable to train-tracks, branched surfaces and hierarchies to hold extra complex non-stop objects.

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