Topology and combinatorics Of 3-manifolds / / Klaus Johannson

• Autore: Johannson Klaus <1948->
• Pubblicazione: Berlin, Germany : , : Springer-Verlag, , [1995]; ©1995
• Edizione: 1st ed. 1995.
• Descrizione fisica: 1 online resource (XVIII, 450 p.)
• Disciplina: 514.3
• Soggetto topico: Three-manifolds (Topology); Manifolds (Mathematics); Algebraic topology
• Note generali: Bibliographic Level Mode of Issuance: Monograph
• Nota di contenuto: Handlebodies -- Relative handlebodies -- Generalized one-relator 3-manifolds -- N-relaton 3-manifolds -- The space of heegaard graphs.
• Sommario/riassunto: This 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 structure 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.
• Titolo autorizzato: Topology and combinatorics of 3-manifolds
• ISBN: 3-540-49181-3
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 996466375203316
• Lo trovi qui: Univ. di Salerno
• Serie: Lecture notes in mathematics (Springer-Verlag) ; ; 1599.