{"product_id":"foliations-and-the-geometry-of-3-manifolds-oxford-mathematical-monographs-0198570082","title":"Foliations and the Geometry of 3-Manifolds (Oxford Mathematical Monographs)","description":"\u003cp\u003e\u003cstrong\u003eISBN:\u003c\/strong\u003e 0198570082\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eAuthor:\u003c\/strong\u003e Calegari, Danny\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eCondition:\u003c\/strong\u003e New\u003c\/p\u003e\u003cp\u003eThis unique reference, aimed at research topologists, gives an exposition of the 'pseudo-Anosov' theory of foliations of 3-manifolds. This theory generalizes Thurston's theory of surface automorphisms and reveals an intimate connection between dynamics, geometry and topology in 3 dimensions. Significant themes returned to throughout the text include the importance of geometry, especially the hyperbolic geometry of surfaces, the importance of monotonicity, especially in 1-dimensional and co-dimensional dynamics, and combinatorial approximation, using finite combinatorical objects such as train-tracks, branched surfaces and hierarchies to carry more complicated continuous objects.\u003c\/p\u003e","brand":"Mia Karts","offers":[{"title":"Default Title","offer_id":51916531925280,"sku":"NEW0198570082","price":243.5,"currency_code":"USD","in_stock":true}],"url":"https:\/\/miakarts.com\/products\/foliations-and-the-geometry-of-3-manifolds-oxford-mathematical-monographs-0198570082","provider":"Miakarts Books","version":"1.0","type":"link"}