Introduction to 3-Manifolds
- ISBN-10
- 1470410206
- ISBN-13
- 9781470410209
- Category
- Mathematics
- Pages
- 286
- Language
- English
- Published
- 2014-05-21
- Publisher
- American Mathematical Soc.
- Author
- Jennifer Schultens
Description
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.
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