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New Ideas In Low Dimensional Topology

2015-01-27 Mathematics
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Release : 2015-01-27
Genre : Mathematics
Kind : eBook
Book Rating : 632/5 ( reviews)

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Book Synopsis New Ideas In Low Dimensional Topology by : Vassily Olegovich Manturov

Download or read book New Ideas In Low Dimensional Topology written by Vassily Olegovich Manturov. This book was released on 2015-01-27. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of a selection of articles devoted to new ideas and developments in low dimensional topology. Low dimensions refer to dimensions three and four for the topology of manifolds and their submanifolds. Thus we have papers related to both manifolds and to knotted submanifolds of dimension one in three (classical knot theory) and two in four (surfaces in four dimensional spaces). Some of the work involves virtual knot theory where the knots are abstractions of classical knots but can be represented by knots embedded in surfaces. This leads both to new interactions with classical topology and to new interactions with essential combinatorics.

Differential and Low-Dimensional Topology

2023-03-31 Mathematics
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Release : 2023-03-31
Genre : Mathematics
Kind : eBook
Book Rating : 586/5 ( reviews)

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Book Synopsis Differential and Low-Dimensional Topology by : András Juhász

Download or read book Differential and Low-Dimensional Topology written by András Juhász. This book was released on 2023-03-31. Available in PDF, EPUB and Kindle. Book excerpt: The new student in differential and low-dimensional topology is faced with a bewildering array of tools and loosely connected theories. This short book presents the essential parts of each, enabling the reader to become 'literate' in the field and begin research as quickly as possible. The only prerequisite assumed is an undergraduate algebraic topology course. The first half of the text reviews basic notions of differential topology and culminates with the classification of exotic seven-spheres. It then dives into dimension three and knot theory. There then follows an introduction to Heegaard Floer homology, a powerful collection of modern invariants of three- and four-manifolds, and of knots, that has not before appeared in an introductory textbook. The book concludes with a glimpse of four-manifold theory. Students will find it an exhilarating and authoritative guide to a broad swathe of the most important topics in modern topology.

Knots, Links, Braids and 3-manifolds

1997 Mathematics
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Release : 1997
Genre : Mathematics
Kind : eBook
Book Rating : /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 intended for researchers working in geometry and topology.

Topics In Low Dimensional Topology: In Honor Of Steve Armentrout - Proceedings Of The Conference On Low-dimensional Topology

1999-10-15
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Release : 1999-10-15
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Kind : eBook
Book Rating : 438/5 ( reviews)

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Book Synopsis Topics In Low Dimensional Topology: In Honor Of Steve Armentrout - Proceedings Of The Conference On Low-dimensional Topology by : Augustin Banyaga

Download or read book Topics In Low Dimensional Topology: In Honor Of Steve Armentrout - Proceedings Of The Conference On Low-dimensional Topology written by Augustin Banyaga. This book was released on 1999-10-15. Available in PDF, EPUB and Kindle. Book excerpt: Recent success with the four-dimensional Poincaré conjecture has revived interest in low-dimensional topology, especially the three-dimensional Poincaré conjecture and other aspects of the problems of classifying three-dimensional manifolds. These problems have a driving force, and have generated a great body of research, as well as insight.The main topics treated in this book include a paper by V Poenaru on the Poincaré conjecture and its ramifications, giving an insight into the herculean work of the author on the subject. Steve Armentrout's paper on “Bing's dogbone space” belongs to the topics in three-dimensional topology motivated by the Poincaré conjecture. S Singh gives a nice synthesis of Armentrout's work. Also included in the volume are shorter original papers, dealing with somewhat different aspects of geometry, and dedicated to Armentrout by his colleagues — Augustin Banyaga (and Jean-Pierre Ezin), David Hurtubise, Hossein Movahedi-Lankarani and Robert Wells.

Intelligence of Low Dimensional Topology 2006

2007 Mathematics
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Release : 2007
Genre : Mathematics
Kind : eBook
Book Rating : 968/5 ( reviews)

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Book Synopsis Intelligence of Low Dimensional Topology 2006 by : J. Scott Carter

Download or read book Intelligence of Low Dimensional Topology 2006 written by J. Scott Carter. This book was released on 2007. Available in PDF, EPUB and Kindle. Book excerpt: This volume gathers the contributions from the international conference Intelligence of Low Dimensional Topology 2006, which took place in Hiroshima in 2006. The aim of this volume is to promote research in low dimensional topology with the focus on knot theory and related topics. The papers include comprehensive reviews and some latest results.

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