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Graduate Studies in Mathematics
2014; 286 pp; hardcover
List Price: US$75
Member Price: US$60
Order Code: GSM/151
Knots and Links - Dale Rolfsen
3-Manifolds - John Hempel
Knots, Links, Braids and 3-Manifolds: An Introduction to the New Invariants in Low-Dimensional Topology - V V Prasolov and A B Sossinsky
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.
Graduate students and research mathematicians interested in low-dimensional topology.
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