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Introduction to 3-Manifolds

2014-05-21 Mathematics
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Release : 2014-05-21
Genre : Mathematics
Kind : eBook
Book Rating : 206/5 ( reviews)

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Book Synopsis Introduction to 3-Manifolds by : Jennifer Schultens

Download or read book Introduction to 3-Manifolds written by Jennifer Schultens. This book was released on 2014-05-21. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Lectures on the Topology of 3-manifolds

1999 Mathematics
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Release : 1999
Genre : Mathematics
Kind : eBook
Book Rating : 721/5 ( reviews)

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Book Synopsis Lectures on the Topology of 3-manifolds by : Nikolai Saveliev

Download or read book Lectures on the Topology of 3-manifolds written by Nikolai Saveliev. This book was released on 1999. Available in PDF, EPUB and Kindle. Book excerpt:

Knots, Links, Braids and 3-Manifolds

1997 Mathematics
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Release : 1997
Genre : Mathematics
Kind : eBook
Book Rating : 982/5 ( reviews)

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Book Synopsis Knots, Links, Braids and 3-Manifolds by : Viktor Vasilʹevich Prasolov

Download or read book Knots, Links, Braids and 3-Manifolds written by Viktor Vasilʹevich Prasolov. This book was released on 1997. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the remarkable work of Vaughan Jones and Victor Vassiliev on knot and link invariants and its recent modifications and generalizations, including a mathematical treatment of Jones-Witten invariants. The mathematical prerequisites are minimal compared to other monographs in this area. Numerous figures and problems make this book suitable as a graduate level course text or for self-study.

Outer Circles

2007-05-31 Mathematics
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Release : 2007-05-31
Genre : Mathematics
Kind : eBook
Book Rating : 764/5 ( reviews)

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Book Synopsis Outer Circles by : A. Marden

Download or read book Outer Circles written by A. Marden. This book was released on 2007-05-31. Available in PDF, EPUB and Kindle. Book excerpt: We live in a three-dimensional space; what sort of space is it? Can we build it from simple geometric objects? The answers to such questions have been found in the last 30 years, and Outer Circles describes the basic mathematics needed for those answers as well as making clear the grand design of the subject of hyperbolic manifolds as a whole. The purpose of Outer Circles is to provide an account of the contemporary theory, accessible to those with minimal formal background in topology, hyperbolic geometry, and complex analysis. The text explains what is needed, and provides the expertise to use the primary tools to arrive at a thorough understanding of the big picture. This picture is further filled out by numerous exercises and expositions at the ends of the chapters and is complemented by a profusion of high quality illustrations. There is an extensive bibliography for further study.

Lectures on the Topology of 3-Manifolds

2012-10-25 Mathematics
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Release : 2012-10-25
Genre : Mathematics
Kind : eBook
Book Rating : 355/5 ( reviews)

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Book Synopsis Lectures on the Topology of 3-Manifolds by : Nikolai Saveliev

Download or read book Lectures on the Topology of 3-Manifolds written by Nikolai Saveliev. This book was released on 2012-10-25. Available in PDF, EPUB and Kindle. Book excerpt:

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