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Johannson

Topology and Combinatorics of 3-Manifolds

Medium: Buch
ISBN: 978-3-540-59063-7
Verlag: Springer Berlin Heidelberg
Erscheinungstermin: 21.04.1995
Lieferfrist: bis zu 10 Tage

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 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


Produkteigenschaften


  • Artikelnummer: 9783540590637
  • Medium: Buch
  • ISBN: 978-3-540-59063-7
  • Verlag: Springer Berlin Heidelberg
  • Erscheinungstermin: 21.04.1995
  • Sprache(n): Englisch
  • Auflage: 1995
  • Serie: Lecture Notes in Mathematics
  • Produktform: Kartoniert
  • Gewicht: 1440 g
  • Seiten: 450
  • Format (B x H x T): 155 x 235 x 26 mm
  • Ausgabetyp: Kein, Unbekannt
Autoren/Hrsg.

Autoren

Handlebodies.- Relative handlebodies.- Generalized one-relator 3-manifolds.- N-relaton 3-manifolds.- The space of heegaard graphs.