This book offers a self-contained account of the 3-manifold invariants arising from the original Jones polynomial. These are the Witten-Reshetikhin-Turaev and the Turaev-Viro invariants. Starting from the Kauffman bracket model for the Jones polynomial and the diagrammatic Temperley-Lieb algebra, higher-order polynomial invariants of links are constructed and combined to form the 3-manifold invariants. The methods in this book are based on a recoupling theory for the Temperley-Lieb algebra. This recoupling theory is a q ...
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This book offers a self-contained account of the 3-manifold invariants arising from the original Jones polynomial. These are the Witten-Reshetikhin-Turaev and the Turaev-Viro invariants. Starting from the Kauffman bracket model for the Jones polynomial and the diagrammatic Temperley-Lieb algebra, higher-order polynomial invariants of links are constructed and combined to form the 3-manifold invariants. The methods in this book are based on a recoupling theory for the Temperley-Lieb algebra. This recoupling theory is a q-deformation of the SU(2) spin networks of Roger Penrose. The recoupling theory is developed in a purely combinatorial and elementary manner. Calculations are based on a reformulation of the Kirillov-Reshetikhin shadow world, leading to expressions for all the invariants in terms of state summations on 2-cell complexes. Extensive tables of the invariants are included. Manifolds in these tables are recognized by surgery presentations and by means of 3-gems (graph encoded 3-manifolds) in an approach pioneered by Sostenes Lins. The appendices include information about gems, examples of distinct manifolds with the same invariants, and applications to the Turaev-Viro invariant and to the Crane-Yetter invariant of 4-manifolds.
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Add this copy of Temperley-Lieb Recoupling Theory and Invariants of 3 to cart. $37.50, very good condition, Sold by Second Story Books rated 4.0 out of 5 stars, ships from Rockville, MD, UNITED STATES, published 1994 by Princeton University Press.
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Book. Octavo, 296 pages. In Very Good condition. Orange paper covers with black text. Covers have slight bending to corners. Textblock clean. Shelved ND-B. 1376520. FP New Rockville Stock.
Add this copy of Temperley-Lieb Recoupling Theory and Invariants of 3 to cart. $48.00, very good condition, Sold by Lavendier Books rated 5.0 out of 5 stars, ships from Foster, RI, UNITED STATES, published 1994 by Princeton University Press.
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Very Good. Size: 6x0x9; Princeton University Press; Princeton, 1994. Trade paperback. Annals of Mathematics Studies Number 134. A Very Good, binding firm, interior and extremities tidy, some fading to spine and front cover, few very small dog eared corners in rear, trace use/handling marks, small moisture stain/soiled spot bottom text block edge and bottom edge of prelims and first 12 pages, a nice and unmarked copy in wraps. 8vo[octavo or approx. 6 x 9], 296pp., bibliography. We pack securely and ship daily w/delivery confirmation on every book. The picture on the listing page is of the actual book for sale. Additional Scan(s) are available for any item, please inquire.
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Fine. Trade paperback (US). Glued binding. 312 p. Contains: Illustrations, black & white. Annals of Mathematics Studies, 134. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
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New. Trade paperback (US). Glued binding. 312 p. Contains: Illustrations, black & white. Annals of Mathematics Studies, 134. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
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