{"product_id":"topology-and-combinatorics-of-3-manifolds-9783540590637","title":"Topology and Combinatorics of 3-Manifolds","description":"\u003cp\u003e • Author(s): Klaus Johannson\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Geometry - General\u003c\/p\u003e\u003cp\u003eThis book is a study of combinatorial structures of 3-mani- folds, especially Haken 3-manifolds. Specifically, it is concerned with Heegard graphs in Haken 3-manifolds, i.e., with graphs whose complements have a free fundamental group. These graphs always exist. They fix not only a combinatorial stucture but also a presentation for the fundamental group of the underlying 3-manifold. The starting point of the book is the result that the intersection of Heegard graphs with incompressible surfaces, or hierarchies of such surfaces, is very rigid. A number of finiteness results lead up to a ri- gidity theorem for Heegard graphs. The book is intended for graduate students and researchers in low-dimensional topolo- gy as well as combinatorial theory. It is self-contained and requires only a basic knowledge of the theory of 3-manifolds\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Paperback","offer_id":47591655538839,"sku":"9783540590637","price":7042.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783540590637.webp?v=1774974002","url":"https:\/\/atlanticbooks.com\/products\/topology-and-combinatorics-of-3-manifolds-9783540590637","provider":"Atlantic Books","version":"1.0","type":"link"}