Introduction to 3-Manifolds
Jennifer Schultens
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 specialized 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.
Categories:
Volume:
151
Year:
2014
Publisher:
American Mathematical Society
Language:
english
Pages:
300
ISBN 10:
1470410206
ISBN 13:
9781470410209
Series:
Graduate Studies in Mathematics
File:
PDF, 19.21 MB
IPFS:
,
english, 2014