{"product_id":"foliations-and-the-geometry-of-3-manifolds-9780198570080","title":"Foliations and the Geometry of 3-Manifolds","description":"\u003cp\u003e • Author(s): Danny Calegari\u003cbr\u003e • Publisher: Oxford University Press, USA\u003cbr\u003e • Publisher Imprint: Oxford University Press, USA\u003cbr\u003e • BISAC: Geometry - General\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.\u003cbr\u003e\u003c\/p\u003e","brand":"Oxford University Press, USA","offers":[{"title":"Hardcover","offer_id":47969726070935,"sku":"9780198570080","price":21760.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9780198570080.webp?v=1782923599","url":"https:\/\/atlanticbooks.com\/products\/foliations-and-the-geometry-of-3-manifolds-9780198570080","provider":"Atlantic Books","version":"1.0","type":"link"}