Introduction to 3-Manifolds
May 2014 · American Mathematical Soc.
E-book
286
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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.
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.
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