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1. |
Record Nr. |
UNINA9910154743003321 |
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Autore |
Kauffman Louis H. |
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Titolo |
Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds (AM-134), Volume 134 / / Louis H. Kauffman, Sostenes Lins |
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Pubbl/distr/stampa |
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Princeton, NJ : , : Princeton University Press, , [2016] |
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©1994 |
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ISBN |
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Descrizione fisica |
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1 online resource (308 pages) : illustrations |
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Collana |
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Annals of Mathematics Studies ; ; 315 |
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Disciplina |
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Soggetti |
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Knot theory |
Three-manifolds (Topology) |
Invariants |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Frontmatter -- Contents -- Chapter 1. Introduction -- Chapter 2. Bracket Polynomial, Temperley-Lieb Algebra -- Chapter 3. Jones-Wenzl Projectors -- Chapter 4. The 3-Vertex -- Chapter 5. Properties of Projectors and 3-Vertices -- Chapter 6. θ-Evaluations -- Chapter 7. Recoupling Theory Via Temperley-Lieb Algebra -- Chapter 8. Chromatic Evaluations and the Tetrahedron -- Chapter 9. A Summary of Recoupling Theory -- Chapter 10. A 3-Manifold Invariant by State Summation -- Chapter 11. The Shadow World -- Chapter 12. The Witten-Reshetikhin- Turaev Invariant -- Chapter 13. Blinks ↦ 3-Gems: Recognizing 3-Manifolds -- Chapter 14. Tables of Quantum Invariants -- Bibliography -- Index |
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Sommario/riassunto |
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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. |
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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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2. |
Record Nr. |
UNINA9910254216603321 |
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Autore |
Rong Bo |
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Titolo |
5G Heterogeneous Networks : Self-organizing and Optimization / / by Bo Rong, Xuesong Qiu, Michel Kadoch, Songlin Sun, Wenjing Li |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 |
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ISBN |
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Edizione |
[1st ed. 2016.] |
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Descrizione fisica |
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1 online resource (XII, 52 p. 21 illus.) |
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Collana |
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SpringerBriefs in Electrical and Computer Engineering, , 2191-8112 |
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Disciplina |
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Soggetti |
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Electrical engineering |
Computer networks |
Computers |
Communications Engineering, Networks |
Computer Communication Networks |
Information Systems and Communication Service |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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Adaptive SON and Smart LPN for 5G Heterogeneous Networks -- Intelligent SDN and NFV for 5G HetNet Dynamics -- Massive MIMO Coordination in 5G Heterogeneous Networks -- Conclusion and Future Research Directions. |
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Sommario/riassunto |
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This SpringerBrief provides state-of-the-art technical reviews on self- |
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organizing and optimization in 5G systems. It covers the latest research results from physical-layer channel modeling to software defined network (SDN) architecture. This book focuses on the cutting-edge wireless technologies such as heterogeneous networks (HetNets), self-organizing network (SON), smart low power node (LPN), 3D-MIMO, and more. It will help researchers from both the academic and industrial worlds to better understand the technical momentum of 5G key technologies. |
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