Knots, Links, Braids and 3-Manifolds: An Introduction to the New Invariants in Low-Dimensional Topology (Translations of Mathematical Monographs) (Translations of Mathematical Monographs Reprint)

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9780821808986: Knots, Links, Braids and 3-Manifolds: An Introduction to the New Invariants in Low-Dimensional Topology (Translations of Mathematical Monographs) (Translations of Mathematical Monographs Reprint)

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. It emphasizes the geometric aspects of the theory and treats topics such as braids, homeomorphisms of surfaces, surgery of 3-manifolds (Kirby calculus), and branched coverings. This attractive geometric material, interesting in itself yet not previously gathered in book form, constitutes the basis of the last two chapters, where the Jones-Witten invariants are constructed via the rigorous skein algebra approach (mainly due to the Saint Petersburg school).

Unlike several recent monographs, where all of these invariants are introduced by using the sophisticated abstract algebra of quantum groups and representation theory, the mathematical prerequisites are minimal in this book. Numerous figures and problems make it suitable as a course text and for self-study.

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Language Notes:

Text: English (translation)
Original Language: Russian

Review:

"Provides an excellent introduction both to classical material and recent developments in 3-dimensional topology and knot theory. The presentation is elementary and extremely clear ... should not be missing in the bookshelf of any working and/or teaching low dimensional topologist." ---- Zentralblatt MATH

"The exposition is excellent throughout. Proofs are clearly illustrated with beautifully drawn diagrams. The text is liberally supplied with exercises, with solutions at the back of the book ... The first part of the book ... would make a good basis for an undergraduate course, and the whole book is just perfect for a graduate course." ---- Bulletin of the London Mathematical Society

"An essentially complete elementary introduction to some important aspects of 3-dimensional topology ... elegantly written with many helpful and well-drawn figures ... the book is self-contained and is accessible to a wide audience including beginning graduate students ... very well written, in a detailed yet comfortable style. I recommend it both to those requiring a foundation for further study of quantum invariants of 3-manifolds and to those wishing a comprehensive introduction to the classical concepts of links and 3-manifolds." ---- Mathematical Reviews

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V. V. Prasolov, A. B. Sossinsky
Editore: American Mathematical Society, United States (1997)
ISBN 10: 0821808982 ISBN 13: 9780821808986
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Descrizione libro American Mathematical Society, United States, 1997. Paperback. Condizione libro: New. New edition. Language: English . Brand New Book. 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. It emphasizes the geometric aspects of the theory and treats topics such as braids, homeomorphisms of surfaces, surgery of 3-manifolds (Kirby calculus), and branched coverings. This attractive geometric material, interesting in itself yet not previously gathered in book form, constitutes the basis of the last two chapters, where the Jones-Witten invariants are constructed via the rigorous skein algebra approach (mainly due to the Saint Petersburg school). Unlike several recent monographs, where all of these invariants are introduced by using the sophisticated abstract algebra of quantum groups and representation theory, the mathematical prerequisites are minimal in this book. Numerous figures and problems make it suitable as a course text and for self-study. Codice libro della libreria AAN9780821808986

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V. V. Prasolov, A. B. Sossinsky
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Descrizione libro American Mathematical Society. Paperback. Condizione libro: new. BRAND NEW, Knots, Links, Braids and 3-manifolds: An Introduction to the New Invariants in Low-Dimensional Topology (New edition), V. V. Prasolov, A. B. Sossinsky, 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. It emphasizes the geometric aspects of the theory and treats topics such as braids, homeomorphisms of surfaces, surgery of 3-manifolds (Kirby calculus), and branched coverings. This attractive geometric material, interesting in itself yet not previously gathered in book form, constitutes the basis of the last two chapters, where the Jones-Witten invariants are constructed via the rigorous skein algebra approach (mainly due to the Saint Petersburg school). Unlike several recent monographs, where all of these invariants are introduced by using the sophisticated abstract algebra of quantum groups and representation theory, the mathematical prerequisites are minimal in this book. Numerous figures and problems make it suitable as a course text and for self-study. Codice libro della libreria B9780821808986

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V. V. Prasolov, A. B. Sossinsky
Editore: American Mathematical Society, United States (1997)
ISBN 10: 0821808982 ISBN 13: 9780821808986
Nuovi Paperback Quantità: 1
Da
The Book Depository US
(London, Regno Unito)
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Descrizione libro American Mathematical Society, United States, 1997. Paperback. Condizione libro: New. New edition. Language: English . Brand New Book. 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. It emphasizes the geometric aspects of the theory and treats topics such as braids, homeomorphisms of surfaces, surgery of 3-manifolds (Kirby calculus), and branched coverings. This attractive geometric material, interesting in itself yet not previously gathered in book form, constitutes the basis of the last two chapters, where the Jones-Witten invariants are constructed via the rigorous skein algebra approach (mainly due to the Saint Petersburg school). Unlike several recent monographs, where all of these invariants are introduced by using the sophisticated abstract algebra of quantum groups and representation theory, the mathematical prerequisites are minimal in this book. Numerous figures and problems make it suitable as a course text and for self-study. Codice libro della libreria AAN9780821808986

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V. V. Prasolov, A. B. Sossinsky
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Descrizione libro Amer Mathematical Society, 1996. Paperback. Condizione libro: New. Codice libro della libreria DADAX0821808982

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Prasolov, V. V./ Sossinsky, A. B.
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Descrizione libro Amer Mathematical Society, 1997. Paperback. Condizione libro: Brand New. 250 pages. 10.25x7.25x0.50 inches. In Stock. Codice libro della libreria __0821808982

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V. V. Prasolov; A. B. Sossinsky
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Descrizione libro Amer Mathematical Society, 1996. Paperback. Condizione libro: New. book. Codice libro della libreria M0821808982

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V. V. Prasolov, A. B. Sossinsky
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ISBN 10: 0821808982 ISBN 13: 9780821808986
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Descrizione libro Amer Mathematical Society, 1996. Paperback. Condizione libro: New. Never used!. Codice libro della libreria P110821808982

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