Introduction to 3-Manifolds

Jennifer Schultens (Autor)

Buch | Hardcover

289 Seiten

2014
American Mathematical Society (Verlag)
978-1-4704-1020-9 (ISBN)

Titel z.Zt. nicht lieferbar
Versandkostenfrei
Auch auf Rechnung

Artikel merken

This book grew out of a graduate course on 3-manifolds and is intended for a mathematically experienced audience that is new to low-dimensional topology. The exposition begins with the definition of a manifold, explores possible additional structures on manifolds, discusses the classification of surfaces, introduces key foundational results for 3-manifolds, and provides an overview of knot theory. It then continues with more specialised topics by briefly considering triangulations of 3-manifolds, normal surface theory, and Heegaard splittings. The book finishes with a discussion of topics relevant to viewing 3-manifolds via the curve complex. With about 250 figures and more than 200 exercises, this book can serve as an excellent overview and starting point for the study of 3-manifolds.

Jennifer Schultens, University of California, Davis, CA.

Perspectives on manifolds
Surfaces
3-manifolds
Knots and links in 3-manifolds
Triangulated 3-manifolds
Heegaard splittings
Further topics
General position
Morse functions
Bibliography
Index

Reihe/Serie	Graduate Studies in Mathematics
Verlagsort	Providence
Sprache	englisch
Maße	178 x 254 mm
Gewicht	675 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	1-4704-1020-6 / 1470410206
ISBN-13	978-1-4704-1020-9 / 9781470410209
Zustand	Neuware