Introduction to 3-Manifolds
Seiten
2014
American Mathematical Society (Verlag)
978-1-4704-1020-9 (ISBN)
American Mathematical Society (Verlag)
978-1-4704-1020-9 (ISBN)
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.
Jennifer Schultens, University of California, Davis, CA.
Perspectives on manifolds
Surfaces
3-manifolds
Knots and links in 3-manifolds
Triangulated 3-manifolds
Heegaard splittings
Further topics
General position
Morse functions
Bibliography
Index
Reihe/Serie | Graduate Studies in Mathematics |
---|---|
Verlagsort | Providence |
Sprache | englisch |
Maße | 178 x 254 mm |
Gewicht | 675 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
ISBN-10 | 1-4704-1020-6 / 1470410206 |
ISBN-13 | 978-1-4704-1020-9 / 9781470410209 |
Zustand | Neuware |
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