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.
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