3 Manifold Groups

Author : Matthias Aschenbrenner
Publisher : Erich Schmidt Verlag GmbH & Co. KG
ISBN 13 : 9783037191545
Total Pages : 236 pages
Book Rating : 4.46/5 ( download)

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Download or read book 3-manifold Groups written by Matthias Aschenbrenner and published by Erich Schmidt Verlag GmbH & Co. KG. This book was released on 2015 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of 3-manifold topology has made great strides forward since 1982 when Thurston articulated his influential list of questions. Primary among these is Perelman's proof of the Geometrization Conjecture, but other highlights include the Tameness Theorem of Agol and Calegari-Gabai, the Surface Subgroup Theorem of Kahn-Markovic, the work of Wise and others on special cube complexes, and, finally, Agol's proof of the Virtual Haken Conjecture. This book summarizes all these developments and provides an exhaustive account of the current state of the art of 3-manifold topology, especially focusing on the consequences for fundamental groups of 3-manifolds. As the first book on 3-manifold topology that incorporates the exciting progress of the last two decades, it will be an invaluable resource for researchers in the field who need a reference for these developments. It also gives a fast-paced introduction to this material. Although some familiarity with the fundamental group is recommended, little other previous knowledge is assumed, and the book is accessible to graduate students. The book closes with an extensive list of open questions which will also be of interest to graduate students and established researchers.

Author : Matthias Aschenbrenner
Publisher :
ISBN 13 : 9783037196540
Total Pages : pages
Book Rating : 4.48/5 ( download)

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Download or read book 3-manifold Groups written by Matthias Aschenbrenner and published by . This book was released on 2015 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of 3-manifold topology has made great strides forward since 1982, when Thurston articulated his influential list of questions. Primary among these is Perelman's proof of the Geometrization Conjecture, but other highlights include the Tameness Theorem of Agol and Calegari-Gabai, the Surface Subgroup Theorem of Kahn-Markovic, the work of Wise and others on special cube complexes, and finally Agol's proof of the Virtual Haken Conjecture. This book summarizes all these developments and provides an exhaustive account of the current state of the art of 3-manifold topology, especially focussing on the consequences for fundamental groups of 3-manifolds. As the first book on 3-manifold topology that incorporates the exciting progress of the last two decades, it will be an invaluable resource for researchers in the field who need a reference for these developments. It also gives a fast-paced introduction to this material - although some familiarity with the fundamental group is recommended, little other previous knowledge is assumed, and the book is accessible to graduate students. The book closes with an extensive list of open questions, which will also be of interest to graduate students and established researchers alike.

Author : Jennifer Schultens
Publisher : American Mathematical Soc.
ISBN 13 : 1470410206
Total Pages : 298 pages
Book Rating : 4.09/5 ( download)

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Download or read book Introduction to 3-Manifolds written by Jennifer Schultens and published by American Mathematical Soc.. This book was released on 2014-05-21 with total page 298 pages. 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.

Author : Danny Calegari
Publisher : Oxford University Press on Demand
ISBN 13 : 0198570082
Total Pages : 378 pages
Book Rating : 4.80/5 ( download)

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Download or read book Foliations and the Geometry of 3-Manifolds written by Danny Calegari and published by Oxford University Press on Demand. This book was released on 2007-05-17 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique reference, aimed at research topologists, gives an exposition of the 'pseudo-Anosov' theory of foliations of 3-manifolds. This theory generalizes Thurston's theory of surface automorphisms and reveals an intimate connection between dynamics, geometry and topology in 3 dimensions. Significant themes returned to throughout the text include the importance of geometry, especially the hyperbolic geometry of surfaces, the importance of monotonicity, especially in1-dimensional and co-dimensional dynamics, and combinatorial approximation, using finite combinatorical objects such as train-tracks, branched surfaces and hierarchies to carry more complicated continuous objects.

Author : K. Johannson
Publisher : Springer
ISBN 13 : 3540384863
Total Pages : 312 pages
Book Rating : 4.61/5 ( download)

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Download or read book Homotopy Equivalences of 3-Manifolds with Boundaries written by K. Johannson and published by Springer. This book was released on 2006-11-15 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : William H. Jaco
Publisher : American Mathematical Soc.
ISBN 13 : 0821816934
Total Pages : 266 pages
Book Rating : 4.36/5 ( download)

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Download or read book Lectures on Three-Manifold Topology written by William H. Jaco and published by American Mathematical Soc.. This book was released on 1980-12-31 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This manuscript is a detailed presentation of the ten lectures given by the author at the NSF Regional Conference on Three-Manifold Topology, held October 1977, at Virginia Polytechnic Institute and State University. The purpose of the conference was to present the current state of affairs in three-manifold topology and to integrate the classical results with the many recent advances and new directions.

Author : Frank W. Warner
Publisher : Springer Science & Business Media
ISBN 13 : 1475717997
Total Pages : 283 pages
Book Rating : 4.90/5 ( download)

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Download or read book Foundations of Differentiable Manifolds and Lie Groups written by Frank W. Warner and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: Foundations of Differentiable Manifolds and Lie Groups gives a clear, detailed, and careful development of the basic facts on manifold theory and Lie Groups. Coverage includes differentiable manifolds, tensors and differentiable forms, Lie groups and homogenous spaces, and integration on manifolds. The book also provides a proof of the de Rham theorem via sheaf cohomology theory and develops the local theory of elliptic operators culminating in a proof of the Hodge theorem.

Author : Colin Maclachlan
Publisher : Springer Science & Business Media
ISBN 13 : 147576720X
Total Pages : 472 pages
Book Rating : 4.09/5 ( download)

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Download or read book The Arithmetic of Hyperbolic 3-Manifolds written by Colin Maclachlan and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recently there has been considerable interest in developing techniques based on number theory to attack problems of 3-manifolds; Contains many examples and lots of problems; Brings together much of the existing literature of Kleinian groups in a clear and concise way; At present no such text exists

Author : Daniel T. Wise
Publisher : American Mathematical Soc.
ISBN 13 : 0821888005
Total Pages : 161 pages
Book Rating : 4.01/5 ( download)

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Download or read book From Riches to Raags: 3-Manifolds, Right-Angled Artin Groups, and Cubical Geometry written by Daniel T. Wise and published by American Mathematical Soc.. This book was released on 2012 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wise describes a stream of geometric group theory connecting many of the classically considered groups arising in combinatorial group theory with right-angled Artin groups. He writes for new or seasoned researchers who have completed at least an introductory course of geometric groups theory or even just hyperbolic groups, but says some comfort with graphs of groups would be helpful. His topics include non-positively curved cube complexes, virtual specialness of malnormal amalgams, finiteness properties of the dual cube complex, walls in cubical small-cancellation theory, and hyperbolicity and quasiconvexity detection. Color drawings illustrate. Annotation ©2013 Book News, Inc., Portland, OR (booknews.com).

Author : R.B. Sher
Publisher : Elsevier
ISBN 13 : 0080532853
Total Pages : 1145 pages
Book Rating : 4.51/5 ( download)

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Download or read book Handbook of Geometric Topology written by R.B. Sher and published by Elsevier. This book was released on 2001-12-20 with total page 1145 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometric Topology is a foundational component of modern mathematics, involving the study of spacial properties and invariants of familiar objects such as manifolds and complexes. This volume, which is intended both as an introduction to the subject and as a wide ranging resouce for those already grounded in it, consists of 21 expository surveys written by leading experts and covering active areas of current research. They provide the reader with an up-to-date overview of this flourishing branch of mathematics.