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Perturbed Gradient Flow Trees and A?-algebra Structures in Morse Cohomology, Stephan Mescher


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Автор: Stephan Mescher
Название:  Perturbed Gradient Flow Trees and A?-algebra Structures in Morse Cohomology
ISBN: 9783030095260
Издательство: Springer
Классификация:






ISBN-10: 3030095266
Обложка/Формат: Soft cover
Страницы: 171
Вес: 0.31 кг.
Дата издания: 2018
Серия: Atlantis Studies in Dynamical Systems
Язык: English
Издание: Softcover reprint of
Иллюстрации: 20 illustrations, black and white; xxv, 171 p. 20 illus.
Размер: 236 x 213 x 10
Читательская аудитория: Professional & vocational
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание:
This book elaborates on an idea put forward by M. Abouzaid on equipping the Morse cochain complex of a smooth Morse function on a closed oriented manifold with the structure of an A?-algebra by means of perturbed gradient flow trajectories. This approach is a variation on K. Fukaya’s definition of Morse-A?-categories for closed oriented manifolds involving families of Morse functions. To make A?-structures in Morse theory accessible to a broader audience, this book provides a coherent and detailed treatment of Abouzaid’s approach, including a discussion of all relevant analytic notions and results, requiring only a basic grasp of Morse theory. In particular, no advanced algebra skills are required, and the perturbation theory for Morse trajectories is completely self-contained.
In addition to its relevance for finite-dimensional Morse homology, this book may be used as a preparation for the study of Fukaya categories in symplectic geometry. It will be of interest to researchers in mathematics (geometry and topology), and to graduate students in mathematics with a basic command of the Morse theory.

Дополнительное описание: 1. Basics on Morse homology.- 2. Perturbations of gradient flow trajectories.- 3. Nonlocal generalizations.- 4. Moduli spaces of perturbed Morse ribbon trees.- 5. The convergence behaviour of sequences of perturbed Morse ribbon trees.- 6. Higher order mul



Group Cohomology and Algebraic Cycles

Автор: Totaro
Название: Group Cohomology and Algebraic Cycles
ISBN: 1107015774 ISBN-13(EAN): 9781107015777
Издательство: Cambridge Academ
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Цена: 18216.00 р.
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Описание: Group cohomology reveals a deep relation between algebra and topology, and its recent applications have provided important insights into the Hodge conjecture and algebraic geometry more broadly. This book presents a coherent suite of computational tools for the study of group cohomology and algebraic cycles.

Free Boundary Problems and Asymptotic Behavior of Singularly Perturbed Partial Differential Equations

Автор: Kelei Wang
Название: Free Boundary Problems and Asymptotic Behavior of Singularly Perturbed Partial Differential Equations
ISBN: 364244248X ISBN-13(EAN): 9783642442483
Издательство: Springer
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Цена: 15372.00 р.
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Описание: The results of this exceptional thesis on free boundary problems in singularly perturbed PDEs develop our understanding of the effects of strong competition between species. The research has a wealth of valuable applications in both physics and biology.

Hochschild cohomology for algebras

Автор: Witherspoon, Sarah J.
Название: Hochschild cohomology for algebras
ISBN: 1470449315 ISBN-13(EAN): 9781470449315
Издательство: Mare Nostrum (Eurospan)
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Цена: 13444.00 р.
Наличие на складе: Нет в наличии.

Описание: This book gives a thorough and self-contained introduction to the theory of Hochschild cohomology for algebras and includes many examples and exercises. The book then explores Hochschild cohomology as a Gerstenhaber algebra in detail, the notions of smoothness and duality, algebraic deformation theory, infinity structures, support varieties, and connections to Hopf algebra cohomology. Useful homological algebra background is provided in an appendix. The book is designed both as an introduction for advanced graduate students and as a resource for mathematicians who use Hochschild cohomology in their work.

Homogenization in Time of Singularly Perturbed Mechanical Systems

Автор: Folkmar Bornemann
Название: Homogenization in Time of Singularly Perturbed Mechanical Systems
ISBN: 3540644474 ISBN-13(EAN): 9783540644477
Издательство: Springer
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Цена: 4186.00 р.
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Описание: This text is about the elimination of fast oscillatory scales in dynamical systems, which is important for efficient computer-simulations and the understanding of model hierarchies. The author presents his method, homogenization in time, based on energy principles and weak convergence techniques.

Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains

Автор: Vladimir Maz`ya; Serguei Nazarov; Boris Plamenevsk
Название: Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains
ISBN: 3764363975 ISBN-13(EAN): 9783764363970
Издательство: Springer
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Цена: 29342.00 р.
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Описание: For the first time in the mathematical literature, this two-volume work introduces a unified and general approach to the subject. To a large extent, the book is based on the authors` work, and has no significant overlap with other books on the theory of elliptic boundary value problems.

Singularly Perturbed and Weakly Coupled Linear Control Systems

Автор: Zoran Gajic; Djordjija Petkovski; Xuemin Shen
Название: Singularly Perturbed and Weakly Coupled Linear Control Systems
ISBN: 3540523332 ISBN-13(EAN): 9783540523338
Издательство: Springer
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Цена: 12157.00 р.
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Описание: This book provides a comprehensive view of current developments in the theory of recursive reduced-order methods for singularly perturbed and weakly coupled linear control systems.

Robust Numerical Methods for Singularly Perturbed Differential Equations

Автор: Hans-G?rg Roos; Martin Stynes; Lutz Tobiska
Название: Robust Numerical Methods for Singularly Perturbed Differential Equations
ISBN: 3642070825 ISBN-13(EAN): 9783642070822
Издательство: Springer
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Цена: 20263.00 р.
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Описание: This new edition incorporates new developments in numerical methods for singularly perturbed differential equations, focusing on linear convection-diffusion equations and on nonlinear flow problems that appear in computational fluid dynamics.

Two-Scale Approach to Oscillatory Singularly Perturbed Transport Equations

Автор: Emmanuel Fr?nod
Название: Two-Scale Approach to Oscillatory Singularly Perturbed Transport Equations
ISBN: 3319646672 ISBN-13(EAN): 9783319646671
Издательство: Springer
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Цена: 4890.00 р.
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Описание: In addition, it explores the homogenization of hyperbolic partial differential equations with oscillating coefficients and linear oscillatory singularly perturbed hyperbolic partial differential equations.

Invariant Manifolds and Fibrations for Perturbed Nonlinear Schr?dinger Equations

Автор: Charles Li; Stephen Wiggins
Название: Invariant Manifolds and Fibrations for Perturbed Nonlinear Schr?dinger Equations
ISBN: 1461273072 ISBN-13(EAN): 9781461273073
Издательство: Springer
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Цена: 6986.00 р.
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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.

Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Volume II

Автор: Vladimir Maz`ya; B. Plamenevskij; Serguei Nazarov;
Название: Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Volume II
ISBN: 3764363983 ISBN-13(EAN): 9783764363987
Издательство: Springer
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Цена: 29342.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: For the first time in the mathematical literature, this two-volume work introduces a unified and general approach to the subject. To a large extent, the book is based on the authors` work, and has no significant overlap with other books on the theory of elliptic boundary value problems

Central Simple Algebras and Galois Cohomology

Автор: Philippe Gille, Tamas Szamuely
Название: Central Simple Algebras and Galois Cohomology
ISBN: 1107156378 ISBN-13(EAN): 9781107156371
Издательство: Cambridge Academ
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Цена: 12197.00 р.
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Описание: The first comprehensive, modern introduction to a central field in modern algebra with connections to algebraic geometry, K-theory, and number theory. It proceeds from the basics to more advanced results, including the Merkurjev-Suslin theorem. It is ideal as a text for a graduate course and as a reference for researchers.

Etale Cohomology Theory: Revised Edition

Автор: Fu Lei
Название: Etale Cohomology Theory: Revised Edition
ISBN: 9814675083 ISBN-13(EAN): 9789814675086
Издательство: World Scientific Publishing
Цена: 31680.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: Etale cohomology is an important branch in arithmetic geometry.


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