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Introduction to 3-Manifolds
 
Jennifer Schultens University of California, Davis, Davis, CA
Front Cover for Introduction to 3-Manifolds
Available Formats:
Hardcover ISBN: 978-1-4704-1020-9
Product Code: GSM/151
List Price: $80.00
MAA Member Price: $72.00
AMS Member Price: $64.00
Electronic ISBN: 978-1-4704-1558-7
Product Code: GSM/151.E
List Price: $75.00
MAA Member Price: $67.50
AMS Member Price: $60.00
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $120.00
MAA Member Price: $108.00
AMS Member Price: $96.00
Front Cover for Introduction to 3-Manifolds
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  • Front Cover for Introduction to 3-Manifolds
  • Back Cover for Introduction to 3-Manifolds
Introduction to 3-Manifolds
Jennifer Schultens University of California, Davis, Davis, CA
Available Formats:
Hardcover ISBN:  978-1-4704-1020-9
Product Code:  GSM/151
List Price: $80.00
MAA Member Price: $72.00
AMS Member Price: $64.00
Electronic ISBN:  978-1-4704-1558-7
Product Code:  GSM/151.E
List Price: $75.00
MAA Member Price: $67.50
AMS Member Price: $60.00
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $120.00
MAA Member Price: $108.00
AMS Member Price: $96.00
  • Book Details
     
     
    Graduate Studies in Mathematics
    Volume: 1512014; 286 pp
    MSC: Primary 57;

    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.

    Readership

    Graduate students and research mathematicians interested in low-dimensional topology.

  • Table of Contents
     
     
    • Chapters
    • Chapter 1. Perspectives on manifolds
    • Chapter 2. Surfaces
    • Chapter 3. 3-manifolds
    • Chapter 4. Knots and links in 3-manifolds
    • Chapter 5. Triangulated 3-manifolds
    • Chapter 6. Heegaard splittings
    • Chapter 7. Further topics
    • Appendix A. General position
    • Appendix B. Morse functions
  • Reviews
     
     
    • The 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
    • ...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 Reviews
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  • Get Permissions
Volume: 1512014; 286 pp
MSC: Primary 57;

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.

Readership

Graduate students and research mathematicians interested in low-dimensional topology.

  • Chapters
  • Chapter 1. Perspectives on manifolds
  • Chapter 2. Surfaces
  • Chapter 3. 3-manifolds
  • Chapter 4. Knots and links in 3-manifolds
  • Chapter 5. Triangulated 3-manifolds
  • Chapter 6. Heegaard splittings
  • Chapter 7. Further topics
  • Appendix A. General position
  • Appendix B. Morse functions
  • The 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
  • ...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 Reviews
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