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: 8094.00 р. 11563.00-30% Наличие на складе: Есть (1 шт.) 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: Li Weiping Название: Lecture Notes on Knot Invariants ISBN: 9814675962 ISBN-13(EAN): 9789814675963 Издательство: World Scientific Publishing Рейтинг: Цена: 5069.00 р. 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: T. Fiedler Название: Gauss Diagram Invariants for Knots and Links ISBN: 0792371127 ISBN-13(EAN): 9780792371120 Издательство: Springer Рейтинг: Цена: 15372.00 р. 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: Holger Kammeyer Название: Introduction to ??-invariants ISBN: 3030282961 ISBN-13(EAN): 9783030282967 Издательство: Springer Рейтинг: Цена: 6986.00 р. 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: Haruzo Hida Название: Elliptic Curves and Arithmetic Invariants ISBN: 1489990925 ISBN-13(EAN): 9781489990921 Издательство: Springer Рейтинг: Цена: 13275.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This introduction to Shimura varieties covers key topics including non-triviality of arithmetic invariants and special values of L-functions; elliptic curves over complex and p-adic fields; Hecke algebras; elliptic and modular curves over rings and more.
Автор: Vladimir G. Turaev Название: Quantum Invariants of Knots and 3-Manifolds ISBN: 3110442663 ISBN-13(EAN): 9783110442663 Издательство: Walter de Gruyter Цена: 27884.00 р. 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: Helmut Hofer; Eduard Zehnder Название: Symplectic Invariants and Hamiltonian Dynamics ISBN: 3034896719 ISBN-13(EAN): 9783034896719 Издательство: Springer Рейтинг: Цена: 9781.00 р. 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: 9781.00 р. 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: 11179.00 р. 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.
Автор: Dale Husem?ller; S. Echterhoff; B. Kr?tz; Michael Название: Basic Bundle Theory and K-Cohomology Invariants ISBN: 3642094368 ISBN-13(EAN): 9783642094361 Издательство: Springer Рейтинг: Цена: 11179.00 р. 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.
Автор: John D. Moore Название: Lectures on Seiberg-Witten Invariants ISBN: 3540412212 ISBN-13(EAN): 9783540412212 Издательство: Springer Рейтинг: Цена: 4884.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: An introduction to the theory of Seiberg-Witten invariants suitable for second-year graduate students. These invariants can be used to prove that there are many compact topological four-manifolds which have more than one smooth structure, and that others have no smooth structure at all.
Автор: Li Weiping Название: Lecture Notes On Knot Invariants ISBN: 9814675954 ISBN-13(EAN): 9789814675956 Издательство: World Scientific Publishing Рейтинг: Цена: 9821.00 р. 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.
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