Introduction to 3-Manifolds (Graduate Studies in Mathematics) by Jennifer Schultens (PDF)

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.

User’s Reviews

Editorial Reviews: Review …Schultens has written an excellent book that richly illustrates the scope of her chosen subject. It is very well written, clear and explicit in its presentation. There are plenty of exercises, and the book has been laboratory tested, so to speak, since it grew out of Schultens’ graduate course on 3-manifolds at Emory University … it will also serve very well indeed as a source for self-study. –MAA ReviewsThe present book is a mixture of an introductory text book on the geometric-topological theory of 3-manifolds and a guide to some recent developments; it contains a lot of information and is written in a nice and intuitive way which makes it pleasant to read. –Zentralblatt Math About the Author Jennifer Schultens , University of California, Davis, CA.

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This is a digestible and excellent introduction to 3-Manifolds for the uninitiated. It’s good for self-study and the basis for further exploration into a very rich area of mathematics.

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