K?hler-Einstein Metrics and Integral Invariants, Akito Futaki
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: Hillman Jonathan Название: Algebraic Invariants Of Links (2Nd Edition) ISBN: 9814407380 ISBN-13(EAN): 9789814407380 Издательство: World Scientific Publishing Рейтинг: Цена: 19008.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Serves as a reference on links and on the invariants derived via algebraic topology from covering spaces of link exteriors. This second edition introduces two new chapters - twisted polynomial invariants and singularities of plane curves. Each replaces brief sketches in the first edition.
Описание: These notes are based on the lectures I delivered at the German Mathematical Society Seminar in Schloss Michkeln in DUsseldorf in June. For the problems of Hermi tian-Einstein metrics for stable bundles and Kahler-Einstein metrics one can use either the continuity method or the heat equation method.
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.
Описание: This work offers the proof of the remarkable relationship between Seiberg-Witten and Gromov invariants on symplectic 4-manifolds. It is a companion to "Topics on Symplectic 4-Manifolds" published in 1998 and brings together articles published in two American journals.
Автор: M.V. Reyes S?nchez; A. Verschoren Название: Classical and Involutive Invariants of Krull Domains ISBN: 9401064946 ISBN-13(EAN): 9789401064941 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Roe Goodman; Nolan R. Wallach Название: Symmetry, Representations, and Invariants ISBN: 1441927298 ISBN-13(EAN): 9781441927293 Издательство: Springer Рейтинг: Цена: 8378.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book is a significant reworking of an earlier work by the authors. It offers a comprehensive introduction to Lie theory, representation theory, invariant theory, and algebraic groups, in a new presentation that includes a broader range of applications.
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 polytope, a convex polyhedron which sits inside the dual of the Lie algebra of G. One of the main goals of this monograph is to describe what kinds of geometric information are encoded in this polytope. For instance, the first chapter is largely devoted to the Delzant theorem, which says that there is a one-one correspondence between certain types of moment polytopes and certain types of symplectic G-spaces. (One of the most challenging unsolved problems in symplectic geometry is to determine to what extent Delzant's theorem is true of every compact symplectic G-Space.)
The moment polytope also encodes quantum information about the actions of G. Using the methods of geometric quantization, one can frequently convert this action into a representations, p, of G on a Hilbert space, and in some sense the moment polytope is a diagrammatic picture of the irreducible representations of G which occur as subrepresentations of p. Precise versions of this item of folklore are discussed in Chapters 3 and 4. Also, midway through Chapter 2 a more complicated object is discussed: the Duistermaat-Heckman measure, and the author explains in Chapter 4 how one can read off from this measure the approximate multiplicities with which the irreducible representations of G occur in p. This gives an excuse to touch on some results which are in themselves of great current interest: the Duistermaat-Heckman theorem, the localization theorems in equivariant cohomology of Atiyah-Bott and Berline-Vergne and the recent extremely exciting generalizations of these results by Witten, Jeffrey-Kirwan, Lalkman, and others.
The last two chapters of this book are a self-contained and somewhat unorthodox treatment of the theory of toric varieties in which the usual hierarchal relation of complex to symplectic is reversed. This book is addressed to researchers
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: 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: Chen Bang-Yen Название: Pseudo-Riemannian Geometry, Delta-Invariants And Applications ISBN: 9814329630 ISBN-13(EAN): 9789814329637 Издательство: World Scientific Publishing Рейтинг: Цена: 25344.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Provides an introduction to the subject in the general setting of pseudo-Riemannian manifolds and their non-degenerate submanifolds, only assuming from the reader some basic knowledge about manifold theory. In this book, a number of results on pseudo-Riemannian submanifolds are also included.
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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