An Introduction to Quantum and Vassiliev Knot Invariants, David M. Jackson; Iain Moffatt
Автор: Chmutov Название: Introduction to Vassiliev Knot Invariants ISBN: 1107020832 ISBN-13(EAN): 9781107020832 Издательство: Cambridge Academ Рейтинг: Цена: 53960.00 T Наличие на складе: Есть Описание: This detailed exposition of a relatively recent development in knot theory, namely, the theory of Vassiliev knot invariants, is intended to serve both as a textbook for readers with little background in this area, and as a guide to some of the more advanced material.
Автор: Ben Webster Название: Knot Invariants and Higher Representation Theory ISBN: 1470426501 ISBN-13(EAN): 9781470426507 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 74850.00 T Наличие на складе: Невозможна поставка. Описание: The author constructs knot invariants categorifying the quantum knot variants for all representations of quantum groups. He shows that these invariants coincide with previous invariants defined by Khovanov for $\mathfrak{sl}_2$ and $\mathfrak{sl}_3$ and by Mazorchuk-Stroppel and Sussan for $\mathfrak{sl}_n$.
Автор: Li Weiping Название: Lecture Notes On Knot Invariants ISBN: 9814675954 ISBN-13(EAN): 9789814675956 Издательство: World Scientific Publishing Рейтинг: Цена: 65470.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The volume is focused on the basic calculation skills of various knot invariants defined from topology and geometry.
Автор: Li Weiping Название: Lecture Notes on Knot Invariants ISBN: 9814675962 ISBN-13(EAN): 9789814675963 Издательство: World Scientific Publishing Рейтинг: Цена: 33790.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
The volume is focused on the basic calculation skills of various knot invariants defined from topology and geometry. It presents the detailed Hecke algebra and braid representation to illustrate the original Jones polynomial (rather than the algebraic formal definition many other books and research articles use) and provides self-contained proofs of the Tait conjecture (one of the big achievements from the Jones invariant). It also presents explicit computations to the Casson-Lin invariant via braid representations.
With the approach of an explicit computational point of view on knot invariants, this user-friendly volume will benefit readers to easily understand low-dimensional topology from examples and computations, rather than only knowing terminologies and theorems.
Автор: Vladimir G. Turaev Название: Quantum Invariants of Knots and 3-Manifolds ISBN: 3110442663 ISBN-13(EAN): 9783110442663 Издательство: Walter de Gruyter Цена: 185890.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Due to the strong appeal and wide use of this monograph, it is now available in its third revised edition. The monograph gives a systematic treatment of 3-dimensional topological quantum field theories (TQFTs) based on the work of the author with N. Reshetikhin and O. Viro. This subject was inspired by the discovery of the Jones polynomial of knots and the Witten-Chern-Simons field theory. On the algebraic side, the study of 3-dimensional TQFTs has been influenced by the theory of braided categories and the theory of quantum groups.The book is divided into three parts. Part I presents a construction of 3-dimensional TQFTs and 2-dimensional modular functors from so-called modular categories. This gives a vast class of knot invariants and 3-manifold invariants as well as a class of linear representations of the mapping class groups of surfaces. In Part II the technique of 6j-symbols is used to define state sum invariants of 3-manifolds. Their relation to the TQFTs constructed in Part I is established via the theory of shadows. Part III provides constructions of modular categories, based on quantum groups and skein modules of tangles in the 3-space.This fundamental contribution to topological quantum field theory is accessible to graduate students in mathematics and physics with knowledge of basic algebra and topology. It is an indispensable source for everyone who wishes to enter the forefront of this fascinating area at the borderline of mathematics and physics. Contents:Invariants of graphs in Euclidean 3-space and of closed 3-manifoldsFoundations of topological quantum field theoryThree-dimensional topological quantum field theoryTwo-dimensional modular functors6j-symbolsSimplicial state sums on 3-manifoldsShadows of manifolds and state sums on shadowsConstructions of modular categories
Автор: Sergei K. Lando; R.V. Gamkrelidze; V.A. Vassiliev; Название: Graphs on Surfaces and Their Applications ISBN: 3642055230 ISBN-13(EAN): 9783642055232 Издательство: Springer Рейтинг: Цена: 144410.00 T Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: T. Fiedler Название: Gauss Diagram Invariants for Knots and Links ISBN: 0792371127 ISBN-13(EAN): 9780792371120 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Contains numerical isotopy invariants for knots in the product of a surface (not necessarily orientable) with a line and for links in 3-space. This book describes these invariants, called Gauss diagram invariants, in a combinatorial way using knot diagrams.
Автор: Erica Flapan, Allison Henrich, Aaron Kaestner, Sam Nelson Название: Knots, Links, Spatial Graphs, and Algebraic Invariants ISBN: 1470428474 ISBN-13(EAN): 9781470428471 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 110880.00 T Наличие на складе: Невозможна поставка. Описание: Contains the proceedings of the AMS Special Session on Algebraic and Combinatorial Structures in Knot Theory and the AMS Special Session on Spatial Graphs. Included are articles that draw on techniques from geometry and algebra to address topological problems about knot theory and spatial graph theory, and their combinatorial generalizations to equivalence classes of diagrams.
Автор: Holger Kammeyer Название: Introduction to ??-invariants ISBN: 3030282961 ISBN-13(EAN): 9783030282967 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
This book introduces the reader to the most important concepts and problems in the field of ??-invariants. After some foundational material on group von Neumann algebras, ??-Betti numbers are defined and their use is illustrated by several examples. The text continues with Atiyah's question on possible values of ??-Betti numbers and the relation to Kaplansky's zero divisor conjecture. The general definition of ??-Betti numbers allows for applications in group theory. A whole chapter is dedicated to L?ck's approximation theorem and its generalizations. The final chapter deals with ??-torsion, twisted variants and the conjectures relating them to torsion growth in homology.
The text provides a self-contained treatment that constructs the required specialized concepts from scratch. It comes with numerous exercises and examples, so that both graduate students and researchers will find it useful for self-study or as a basis for an advanced lecture course.
Автор: Helmut Hofer; Eduard Zehnder Название: Symplectic Invariants and Hamiltonian Dynamics ISBN: 3034896719 ISBN-13(EAN): 9783034896719 Издательство: Springer Рейтинг: Цена: 65210.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: One of the links is a class of sympletic invariants, called sympletic capacities, and these invariants are the main theme of this book. Topics covered include basic sympletic geometry, sympletic capacities and rigidity, sympletic fixed point theory, and a survey on Floer homology and sympletic homology.
Автор: Emil Prodan; Hermann Schulz-Baldes Название: Bulk and Boundary Invariants for Complex Topological Insulators ISBN: 3319293508 ISBN-13(EAN): 9783319293509 Издательство: Springer Рейтинг: Цена: 65210.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This monograph offers an overview of rigorous results on fermionic topological insulators from the complex classes, namely, those without symmetries or with just a chiral symmetry.
Автор: Dale Husem?ller; S. Echterhoff; B. Kr?tz; Michael Название: Basic Bundle Theory and K-Cohomology Invariants ISBN: 3540749551 ISBN-13(EAN): 9783540749554 Издательство: Springer Рейтинг: Цена: 74530.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Based on several recent courses given to mathematical physics students, this volume is an introduction to bundle theory. A fundamental theme, emphasized in the book, centers around the gluing of local bundle data related to bundles into a global object.
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