{"product_id":"hyperbolic-manifolds-and-discrete-groups-modern-birkhuser-classics-0817649123","title":"Hyperbolic Manifolds and Discrete Groups (Modern Birkhuser Classics)","description":"\u003cp\u003e\u003cstrong\u003eISBN:\u003c\/strong\u003e 0817649123\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eAuthor:\u003c\/strong\u003e Kapovich, Michael\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eCondition:\u003c\/strong\u003e New\u003c\/p\u003e\u003cp\u003eThe main goal of the book is to present a proof of the following. Thurston's Hyperbolization Theorem (\"The Big Monster\"). Suppose that M is a compact atoroidal Haken 3-manifold that has zero Euler characteristic. Then the interior of M admits a complete hyperbolic metric of finite volume. This theorem establishes a strong link between the geometry and topology 3 of 3-manifolds and the algebra of discrete subgroups of Isom(JH[ ). It completely changed the landscape of 3-dimensional topology and theory of Kleinian groups. Further, it allowed one to prove things that were beyond the reach of the standard 3-manifold technique as, for example, Smith's conjecture, residual finiteness of the fundamental groups of Haken manifolds, etc. In this book we present a complete proof of the Hyperbolization Theorem in the \"generic case.\" Initially we planned 1 including a detailed proof in the remaining case of manifolds fibered over  as well. However, since Otal's book [Ota96] (which treats the fiber bundle case) became available, only a sketch of the proof in the fibered case will be given here.\u003c\/p\u003e","brand":"Mia Karts","offers":[{"title":"Default Title","offer_id":68080266314016,"sku":"NEW0817649123","price":118.83,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0980\/7426\/3840\/files\/51NPlGSHrDL.jpg?v=1793509115","url":"https:\/\/miakarts.com\/products\/hyperbolic-manifolds-and-discrete-groups-modern-birkhuser-classics-0817649123","provider":"Miakarts Books","version":"1.0","type":"link"}