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Author: Vagn Lundsgaard Hansen
Publisher: Cambridge University Press
ISBN: 9780521387576
Category : Mathematics
Languages : en
Pages : 208
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Book Description
Essays develop the elementary theory of Artin Braid groups geometrically and via homotopy theory, discuss the link between knot theory and the combinatorics of braid groups through Markou's Theorem and investigate polynomial covering maps.
Author: Vagn Lundsgaard Hansen
Publisher: Cambridge University Press
ISBN: 9780521387576
Category : Mathematics
Languages : en
Pages : 208
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Book Description
Essays develop the elementary theory of Artin Braid groups geometrically and via homotopy theory, discuss the link between knot theory and the combinatorics of braid groups through Markou's Theorem and investigate polynomial covering maps.
Author: Viktor Vasilʹevich Prasolov
Publisher: American Mathematical Soc.
ISBN: 0821808982
Category : Mathematics
Languages : en
Pages : 250
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Book Description
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.
Author: Hansjörg Geiges
Publisher: Cambridge University Press
ISBN: 1139467956
Category : Mathematics
Languages : en
Pages : 8
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Book Description
This text on contact topology is a comprehensive introduction to the subject, including recent striking applications in geometric and differential topology: Eliashberg's proof of Cerf's theorem via the classification of tight contact structures on the 3-sphere, and the Kronheimer-Mrowka proof of property P for knots via symplectic fillings of contact 3-manifolds. Starting with the basic differential topology of contact manifolds, all aspects of 3-dimensional contact manifolds are treated in this book. One notable feature is a detailed exposition of Eliashberg's classification of overtwisted contact structures. Later chapters also deal with higher-dimensional contact topology. Here the focus is on contact surgery, but other constructions of contact manifolds are described, such as open books or fibre connected sums. This book serves both as a self-contained introduction to the subject for advanced graduate students and as a reference for researchers.
Author: Carla Sinclair
Publisher: "O'Reilly Media, Inc."
ISBN: 9780596529284
Category : Crafts & Hobbies
Languages : en
Pages : 168
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Book Description
CRAFT is the first project-based magazine dedicated to the renaissance that is occurring within the world of crafts. Celebrating the DIY spirit, CRAFT's goal is to unite, inspire, inform and entertain a growing community of highly imaginative people who are transforming traditional art and crafts with unconventional, unexpected and even renegade techniques, materials and tools; resourceful spirits who undertake amazing crafting projects in their homes and communities. Volume 01, the premier issue, features 23 projects with a twist! Make a programmable LED shirt, turn dud shoes into great knitted boots, felt an iPod cocoon, embroider a skateboard, and much more.
Author: S. Moran
Publisher: Elsevier
ISBN: 0080871933
Category : Computers
Languages : en
Pages : 309
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Book Description
This book is an introduction to the theory of knots via the theory of braids, which attempts to be complete in a number of ways. Some knowledge of Topology is assumed. Necessary Group Theory and further necessary Topology are given in the book. The exposition is intended to enable an interested reader to learn the basics of the subject. Emphasis is placed on covering the theory in an algebraic way. The work includes quite a number of worked examples. The latter part of the book is devoted to previously unpublished material.
Author: Rodrick Owen
Publisher:
ISBN:
Category : Braid
Languages : en
Pages : 0
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Book Description
Author: William Menasco
Publisher: Elsevier
ISBN: 9780080459547
Category : Mathematics
Languages : en
Pages : 502
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Book Description
This book is a survey of current topics in the mathematical theory of knots. For a mathematician, a knot is a closed loop in 3-dimensional space: imagine knotting an extension cord and then closing it up by inserting its plug into its outlet. Knot theory is of central importance in pure and applied mathematics, as it stands at a crossroads of topology, combinatorics, algebra, mathematical physics and biochemistry. * Survey of mathematical knot theory * Articles by leading world authorities * Clear exposition, not over-technical * Accessible to readers with undergraduate background in mathematics
Author: Christian Kassel
Publisher: Springer Science & Business Media
ISBN: 0387685480
Category : Mathematics
Languages : en
Pages : 349
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Book Description
In this well-written presentation, motivated by numerous examples and problems, the authors introduce the basic theory of braid groups, highlighting several definitions that show their equivalence; this is followed by a treatment of the relationship between braids, knots and links. Important results then treat the linearity and orderability of the subject. Relevant additional material is included in five large appendices. Braid Groups will serve graduate students and a number of mathematicians coming from diverse disciplines.
Author: Joan S. Birman
Publisher: Princeton University Press
ISBN: 9780691081496
Category : Crafts & Hobbies
Languages : en
Pages : 244
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Book Description
The central theme of this study is Artin's braid group and the many ways that the notion of a braid has proved to be important in low-dimensional topology. In Chapter 1 the author is concerned with the concept of a braid as a group of motions of points in a manifold. She studies structural and algebraic properties of the braid groups of two manifolds, and derives systems of defining relations for the braid groups of the plane and sphere. In Chapter 2 she focuses on the connections between the classical braid group and the classical knot problem. After reviewing basic results she proceeds to an exploration of some possible implications of the Garside and Markov theorems. Chapter 3 offers discussion of matrix representations of the free group and of subgroups of the automorphism group of the free group. These ideas come to a focus in the difficult open question of whether Burau's matrix representation of the braid group is faithful. Chapter 4 is a broad view of recent results on the connections between braid groups and mapping class groups of surfaces. Chapter 5 contains a brief discussion of the theory of "plats." Research problems are included in an appendix.
Author: Valerie Campbell-Harding
Publisher: Sterling Publishing (NY)
ISBN: 9780806948393
Category : Bead embroidery
Languages : en
Pages : 0
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Book Description
'Campbell Harding adds beads in a variety of beading patterns to her tassels, creating delightful lacy baubles that can be used to embellish curtains, lampshades, or clothing... (A( good addition...' - Library Journal. Use them to adorn pillows, evening bags, or even a dress - beaded tassels add sparkle to anything. Make them yourself, in bright, marvellous colour, with beads of different shapes and twisted, braided threads. You probably already own most of the basic equipment at home, and here are the ins and outs of choosing, mixing, bleaching, and painting beads, with hundreds of diagrams and photos of different options for making cords and tassels, skirts, fringes and heads.
