Introduction to 3-Manifolds
Author | : Jennifer Schultens |
Publisher | : American Mathematical Soc. |
Total Pages | : 298 |
Release | : 2014-05-21 |
Genre | : Mathematics |
ISBN | : 1470410206 |
Download Introduction to 3-Manifolds Book in PDF, Epub and Kindle
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.