Introduction to 3-Manifolds(English, Hardcover, Schultens Jennifer)

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Introduction to 3-Manifolds(English, Hardcover, Schultens Jennifer) is written by Schultens Jennifer and published by American Mathematical Society. It's available with International Standard Book Number or ISBN identification 1470410206 (ISBN 10) and 9781470410209 (ISBN 13).

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.