E-Book, Englisch, Band 1599, 450 Seiten, eBook
Reihe: Lecture Notes in Mathematics
Johannson Topology and Combinatorics of 3-Manifolds
Erscheinungsjahr 2006
ISBN: 978-3-540-49181-1
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, Band 1599, 450 Seiten, eBook
Reihe: Lecture Notes in Mathematics
ISBN: 978-3-540-49181-1
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
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
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
Handlebodies.- Relative handlebodies.- Generalized one-relator 3-manifolds.- N-relaton 3-manifolds.- The space of heegaard graphs.
