Introduction to 3-Manifolds
Jennifer Schultens
Price
1725
ISBN
9781470454715
Language
English
Pages
296
Format
Paperback
Dimensions
180 x 240 mm
Year of Publishing
2020
Territorial Rights
Restricted
Imprint
Universities Press
Catalogues

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