The Geometric Hopf Invariant and Surgery Theory, Crabb Michael, Ranicki Andrew
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: Crabb Название: The Geometric Hopf Invariant and Surgery Theory ISBN: 3319713051 ISBN-13(EAN): 9783319713052 Издательство: Springer Рейтинг: Цена: 130430.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Written by leading experts in the field, this monograph provides homotopy theoretic foundations for surgery theory on higher-dimensional manifolds. Presenting classical ideas in a modern framework, the authors carefully highlight how their results relate to (and generalize) existing results in the literature.
Автор: Charles Li; Stephen Wiggins Название: Invariant Manifolds and Fibrations for Perturbed Nonlinear Schr?dinger Equations ISBN: 1461273072 ISBN-13(EAN): 9781461273073 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: In this monograph the authors present detailed and pedagogic proofs of persistence theorems for normally hyperbolic invariant manifolds and their stable and unstable manifolds for classes of perturbations of the NLS equation, as well as for the existence and persistence of fibrations of these invariant manifolds.
In the spring of 1985, A. Casson announced an interesting invariant of homology 3-spheres via constructions on representation spaces. This invariant generalizes the Rohlin invariant and gives surprising corollaries in low-dimensional topology. In the fall of that same year, Selman Akbulut and John McCarthy held a seminar on this invariant. These notes grew out of that seminar. The authors have tried to remain close to Casson's original outline and proceed by giving needed details, including an exposition of Newstead's results. They have often chosen classical concrete approaches over general methods. For example, they did not attempt to give gauge theory explanations for the results of Newstead; instead they followed his original techniques.
Originally published in 1990. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Автор: Wiggins, Stephen Название: Normally hyperbolic invariant manifolds in dynamical systems ISBN: 1461287340 ISBN-13(EAN): 9781461287346 Издательство: Springer Рейтинг: Цена: 74490.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: An important tool in these studies has been the theory of normally hyperbolic invariant manifolds and foliations of normally hyperbolic invariant manifolds.
Автор: Akbulut Selman, McCarthy John D. Название: Casson`s Invariant for Oriented Homology Three-Spheres: An Exposition. (Mn-36) ISBN: 0691636087 ISBN-13(EAN): 9780691636085 Издательство: Wiley Рейтинг: Цена: 103110.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: In the spring of 1985, A. Casson announced an interesting invariant of homology 3-spheres via constructions on representation spaces. This invariant generalizes the Rohlin invariant and gives surprising corollaries in low-dimensional topology. In the fall of that same year, Selman Akbulut and John McCarthy held a seminar on this invariant. These no
Автор: Michael A. Hill , Michael J. Hopkins , Douglas C. Название: Equivariant Stable Homotopy Theory and the Kervaire Invariant Problem ISBN: 1108831443 ISBN-13(EAN): 9781108831444 Издательство: Cambridge Academ Рейтинг: Цена: 142560.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This is the definitive account of the resolution of the Kervaire invariant problem, a major milestone in algebraic topology. It develops all the machinery that is needed for the proof, and details many explicit constructions and computations performed along the way, making it suitable for graduate students as well as experts in homotopy theory.
Автор: John D. Moore Название: Lectures on Seiberg-Witten Invariants ISBN: 3540412212 ISBN-13(EAN): 9783540412212 Издательство: Springer Рейтинг: Цена: 32560.00 T 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: David M. Jackson; Iain Moffatt Название: An Introduction to Quantum and Vassiliev Knot Invariants ISBN: 3030052125 ISBN-13(EAN): 9783030052126 Издательство: Springer Рейтинг: Цена: 93160.00 T Наличие на складе: Поставка под заказ. Описание: This book provides an accessible introduction to knot theory, focussing on Vassiliev invariants, quantum knot invariants constructed via representations of quantum groups, and how these two apparently distinct theories come together through the Kontsevich invariant. Consisting of four parts, the book opens with an introduction to the fundamentals of knot theory, and to knot invariants such as the Jones polynomial. The second part introduces quantum invariants of knots, working constructively from first principles towards the construction of Reshetikhin-Turaev invariants and a description of how these arise through Drinfeld and Jimbo's quantum groups. Its third part offers an introduction to Vassiliev invariants, providing a careful account of how chord diagrams and Jacobi diagrams arise in the theory, and the role that Lie algebras play. The final part of the book introduces the Konstevich invariant. This is a universal quantum invariant and a universal Vassiliev invariant, and brings together these two seemingly different families of knot invariants. The book provides a detailed account of the construction of the Jones polynomial via the quantum groups attached to sl(2), the Vassiliev weight system arising from sl(2), and how these invariants come together through the Kontsevich invariant.
Автор: Burghelea Dan Название: New Topological Invariants For Real- And Angle-valued Maps: An Alternative To Morse-novikov Theory ISBN: 9814618241 ISBN-13(EAN): 9789814618243 Издательство: World Scientific Publishing Рейтинг: Цена: 72870.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book presents an alternative to what the topologists refer to as "Morse-Novikov theory", a mathematical theory which belongs to the fields of geometry and topology.
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: Victor Guillemin Название: Moment Maps and Combinatorial Invariants of Hamiltonian Tn-spaces ISBN: 0817637702 ISBN-13(EAN): 9780817637705 Издательство: Springer Рейтинг: Цена: 144410.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The action of a compact Lie group, G, on a compact sympletic manifold gives rise to some remarkable combinatorial invariants. The simplest and most interesting of these is the moment polytopes, a convex polyhedron which sits inside the dual of the Lie algebra of G. This book is suitable for researchers and can be used as a semester text.
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