Quantum and related invariants of knots and 3-manifolds are presented, and polynomial invariants of knots, such as the Jones and Alexander polynomials, are constructed as quantum invariants derived from representation of quantum groups and from the monodromy of solutions to the Knizhnik-Zamolodchikov equation. Discussion encompasses the Kontsevich invariants, the theory of Vassiliev invariants, the LMO invariants, and finite type invariants of 3-manifolds. The Chern- Simons field theory and the Wess-Zumino-Witten model are described as the physical background of the invariants. The author is affiliated with the Tokyo Institute of Technology, Japan. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Quantum Invariants: A Study of Knot, 3-Manifolds, and Their Sets
$147.99
hussainsohailamin –
How many times you used this product? 1
I am composing a review of Quantum Invariants: A Study of Knot, 3-Manifolds, and Their Sets. This book serves as a rigorous and thoughtfully structured introduction to contemporary topological invariants. The author effectively balances formal proofs with intuitive explanations, rendering challenging concepts such as knot invariants, quantum groups, and three-manifold constructions more accessible. The examples and references are judiciously selected, facilitating both self-directed study and advanced academic coursework. Although the material is challenging, it offers profound insights and coherence in return for careful reading. In summary, this is an invaluable resource for graduate students and researchers in search of a clear and dependable guide to quantum topology and academic pursuits on a global scale.
mariam032347.gmc –
How many times you used this product? 2
Explore the intriguing realm of knots and 3-manifolds in this enlightening journey. Ideal for both enthusiasts and reseerchers, it reveals profound mathematical relationships while delivering clear explanations, thorough analysis, and innovative viewpoints that spark discovery and broaden comprehension in the field of topology.
emananwar026 –
How many times you used this product? 1
It helps me in understaning of knots
sajjadsattar253 –
How many times you used this product? 2
I am composing a review of Quantum Invariants: A Study of Knot, 3-Manifolds, and Their Sets. This book serves as a rigorous and thoughtfully structured introduction to contemporary topological invariants. The author effectively balances formal proofs with intuitive explanations, rendering challenging concepts such as knot invariants, quantum groups, and three-manifold constructions more accessible. The examples and references are judiciously selected, facilitating both self-directed study and advanced academic coursework. Although the material is challenging, it offers profound insights and coherence in return for careful reading. In summary, this is an invaluable resource for graduate students and researchers in search of a clear and dependable guide to quantum topology and academic pursuits on a global scale.
mz03074575 –
How many times you used this product? 1
I am composing a review of Quantum Invariants: A Study of Knot, 3-Manifolds, and Their Sets. This book serves
madnanadnan0002 –
How many times you used this product? 2
Quantum Invariants: A Study of Knot, 3-Manifolds, and Their Sets is a comprehensive and authoritative resource aimed at researchers and graduate students in the fields of topology and mathematical physics.This book delves into the theory of quantum invariants, establishing connections between knot theory, 3-manifold topology, and associated algebraic structures. It offers thorough explanations, rigorous proofs, and a wealth of examples to clarify intricate concepts, making it a vital reference for grasping the relationship between topology and quantum theory.Perfect for experts in low-dimensional topology, this volume enhances understanding of contemporary mathematical methods and acts as a foundational resource for ongoing research in knot invariants and 3-manifold theory.
raorayyan336 –
Quantum Invariants: A Study of Knot, 3Manifolds, and Their Sets is a groundbreaking and beautifully written exploration of modern topology that will captevate both students and researchers. This book presents complex ideas like knot theory and 3 manifold invariants with clarity and depth, making it accessible without losing mathematical rigor. Each chapter builds intuition and connects abstract concepts to tangible results, supported by insightful examples and elegant proofs. Whether you’re advancing your studies or expanding your research horizons, this text offers powerful tools and perspectives that deepen your understanding of geometric topology. A mustread for anyone passionate about the frontier of mathematics.
shahidafridikhan926 –
How many times have you used this product ? 3
If you enjoy deep math and theoretical ideas, Quantum Invariants: A Study of Knot, 3-Manifolds, and Their Sets is a fascinating read. The book goes into serious detail but still feels thoughtfully written for motivated readers. I liked how it connects knot theory with quantum concepts and topology in a meaningful way. Some chapters are heavy and need patience, but the explanations are rewarding once it clicks. It feels like a book written by someone who really knows the subject. I found myself rereading sections and taking notes alot. It’s not light reading, but if you are serious about advanced mathematics, this book is worth having on your shelf.
ameermouvia6 –
How many times have you used this product ? 6
Tujfthf💓❤composing a review of Quantum Invariants: A Study of Knot, 3-Manifolds, and Their Sets. This book serves as a rigorous and thoughtfully structured introduction to contemporary topological invariants. The author effectively balances formal proofs with intuitive explanations, rendering challenging concepts such as knot invariants, quantum groups, and three-manifold constructions more accessible. The examples and references are judiciously selected, facilitating both self-directed study and advanced academic coursework. Although the material is challenging, it offers profound insights and coherence in return for careful reading. In summary, this is an invaluable resource for graduate students and researchers in search of a clear and dependable guide to quantum topology and academic pursuits on a global scale.
azanawan34 –
How many times have you used this product ? 5
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hafeezwork99 –
How many times have you used this product ? 1
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hafeezwork99 –
How many times have you used this product ? 1
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vibewithkaif –
How many time have you used this product ? 2
A masterful treatment of quantum invariants! This book is a comprehensive and rigorous study of knot theoryg, 3-manifolds, and their invariants. The author’s exposition is clear and concise, making it accessible to advanced graduate students and researchers in the field. The vmtext is well-organized, and the numerous examples and exercises are helpful in illustrating the noncepts. A must-have for anyone working in or interested in geometric topology, mathematical physics, or related area. Highly recommended for its thoroughness, clarity, and inlsight into the subject.
hitumaru3107 –
How many time have you used this product ? 4
The Quantum Invariants: A Study of Knot, 3-Manifolds, and Their Sets is an excellent resource for anyone interested in advanced mathematics and topology. It explores the theory of knots, 3-manifolds, and their invariants in a clear and thorough way.
The explanations are detailed, and the examples help make complex concepts easier to understand. It’s perfect for students, researchers, or math enthusiasts looking to deepen their knowledge.
Overall, it’s beautiful, informative, and very convenient for learning advanced mathematical concepts. Absolutly insightful and highly recommended.
b4s8yu1i27 –
How many time have you used this product ? 2
Although the material is challenging, it offers profound insights and coherence in return for careful reading. In summary, this is an invaluable resource for graduate students and researchers in search of a clear and dependable guide to quantum topology and academic pursuits on a global scale.
elassassino333 –
How many time have you used this product ? 1
The book explores the revolutionary shift in topology that began in the 1980s with the discovery of the Jones polynomial.
Key Strengths
Comprehensive Scope: It covers the foundational Jones and Alexander polynomials before transitioning into more complex territory like Vassiliev (finite-type) invariants and the Kontsevich integral.
Mathematical Rigor: Unlike some physics-leaning texts, this book doesn’t hand-wave the details. It provides the necessary algebraic framework (Hopf algebras, R-matrices) required to understand the construction of the Reshetikhin-Turaev varients
mohdshahan047 –
How many time have you used this product ? 2
“Mind-expanding! Quantum Invariants is a brilliant exploration of knot theory and topology. Perfect for math and physics enthusiasts, this book offers deep insights and cutting-edge research . A must-have for anyone serious about the subject!”
singhsarthakkimchi2811 –
How many time have you used this product ? 6
Quantum Invariants sounds like a heavy hitter in knot theory and 3-manifolds 😮. A deep dive into mathematical physics and topology 💡.
For math enthusiasts:
– Explores Reshetikhin-Turaev invariants
– Covers knot and 3-manifold invariants
– Insight into quantum groups
vikarm0456 –
How many time have you used this product ? 4
Quatum Invarants’ is a masterclass on knots and 3 manifolds . Love the in-depth exploration of quantum techniques . perfect for researchers or grad students . rich in mathematical depth, yet insightful. A must read for topology and quantum math enthuasts, exploring intricate connections.