Introduction to 3-Manifolds

Jennifer Schultens

ISBN: 9781470454715 | Year: 2020 | Paperback | Pages: 296 | Language : English

Book Size: 180 x 240 mm | Territorial Rights: Restricted| Series American Mathematical Society

Price: 1725.00

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.

Jennifer Schultens, University of California, Davis, Davis, CA

• Preface  10
• Perspectives on manifolds  12
• Surfaces  40
• 3-manifolds  66
• Knots and links in 3-manifolds  112
• Triangulated 3-manifolds   154
• Heegaard splittings   186
• Further topics   226
• General position   272
• Morse functions   280
• Bibliography   286
• Index  294

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