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Introduction to 3-Manifolds

Introduction to 3-Manifolds (Microfische)

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Synopsis

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.

Science & MathematicsMathematicsTopology Publisher: American Mathematical Society Publication Date: 30/04/2014 ISBN-13: 9781470410209  Details: Type: Microfische Format: Digital or Media
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Jennifer Schultens , University of California, Davis, CA.

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