Sutured ECH Is a Natural Invariant, C. H. Taubes, Cagatay Kutluhan, Steven Sivek
Автор: Lele, Subhash R. , Richtsmeier, Joan T. Название: An Invariant Approach to Statistical Analysis of Shapes ISBN: 0367397633 ISBN-13(EAN): 9780367397630 Издательство: Taylor&Francis Рейтинг: Цена: 65320.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
Natural scientists perceive and classify organisms primarily on the basis of their appearance and structure- their form, defined as that characteristic remaining invariant after translation, rotation, and possibly reflection of the object. The quantitative study of form and form change comprises the field of morphometrics. For morphometrics to succeed, it needs techniques that not only satisfy mathematical and statistical rigor but also attend to the scientific issues. An Invariant Approach to the Statistical Analysis of Shapes results from a long and fruitful collaboration between a mathematical statistician and a biologist. Together they have developed a methodology that addresses the importance of scientific relevance, biological variability, and invariance of the statistical and scientific inferences with respect to the arbitrary choice of the coordinate system. They present the history and foundations of morphometrics, discuss the various kinds of data used in the analysis of form, and provide justification for choosing landmark coordinates as a preferred data type. They describe the statistical models used to represent intra-population variability of landmark data and show that arbitrary translation, rotation, and reflection of the objects introduce infinitely many nuisance parameters. The most fundamental part of morphometrics-comparison of forms-receives in-depth treatment, as does the study of growth and growth patterns, classification, clustering, and asymmetry. Morphometrics has only recently begun to consider the invariance principle and its implications for the study of biological form. With the advantage of dual perspectives, An Invariant Approach to the Statistical Analysis of Shapes stands as a unique and important work that brings a decade's worth of innovative methods, observations, and insights to an audience of both statisticians and biologists.
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: Sigurdur Helgason Название: Groups and Geometric Analysis: Integral Geometry, Invariant Differential Operators, and Spherical Functions ISBN: 0821832115 ISBN-13(EAN): 9780821832110 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 70230.00 T Наличие на складе: Поставка под заказ. Описание: Group-theoretic methods have taken an increasingly prominent role in analysis. Some of this change has been due to the writings of Sigurdur Helgason. This book is an introduction to such methods on spaces with symmetry given by the action of a Lie group.
Автор: Sebastian S. Koh Название: Invariant Theory ISBN: 3540183604 ISBN-13(EAN): 9783540183600 Издательство: Springer Рейтинг: Цена: 23280.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Includes papers that center on constructive aspects of invariant theory.
Автор: Neil L. White Название: Invariant Methods in Discrete and Computational Geometry ISBN: 0792335481 ISBN-13(EAN): 9780792335481 Издательство: Springer Рейтинг: Цена: 111760.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Provides a basic introduction to several aspects of invariant theory, including the supersymmetric algebra, the Grassmann-Cayler algebra, and Chow forms. This book also presents a number of research papers on invariant theory and its applications to problems in geometry. It is useful for researchers studying mathematics, computers and robotics.
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: Mumford, David Fogarty, John Kirwan, Frances Название: Geometric invariant theory ISBN: 3642634001 ISBN-13(EAN): 9783642634000 Издательство: Springer Рейтинг: Цена: 130430.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This standard reference on applications of invariant theory to the construction of moduli spaces is a systematic exposition of the geometric aspects of classical theory of polynomial invariants. This new, revised edition is completely updated and enlarged with an additional chapter on the moment map by Professor Frances Kirwan.
Автор: H.E.A. Eddy Campbell; David L. Wehlau Название: Modular Invariant Theory ISBN: 3642266800 ISBN-13(EAN): 9783642266805 Издательство: Springer Рейтинг: Цена: 130430.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book covers the modular invariant theory of finite groups, the case when the characteristic of the field divides the order of the group, a theory that is more complicated than the study of the classical non-modular case.
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.
Автор: F. Gherardelli Название: Invariant Theory ISBN: 3540123199 ISBN-13(EAN): 9783540123194 Издательство: Springer Рейтинг: Цена: 23280.00 T Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Gilberto Bini; Fabio Felici; Margarida Melo; Filip Название: Geometric Invariant Theory for Polarized Curves ISBN: 3319113364 ISBN-13(EAN): 9783319113364 Издательство: Springer Рейтинг: Цена: 32600.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
Introduction.- Singular Curves.- Combinatorial Results.- Preliminaries on GIT.- Potential Pseudo-stability Theorem.- Stabilizer Subgroups.- Behavior at the Extremes of the Basic Inequality.- A Criterion of Stability for Tails.- Elliptic Tails and Tacnodes with a Line.- A Strati_cation of the Semistable Locus.- Semistable, Polystable and Stable Points (part I).- Stability of Elliptic Tails.- Semistable, Polystable and Stable Points (part II).- Geometric Properties of the GIT Quotient.- Extra Components of the GIT Quotient.- Compacti_cations of the Universal Jacobian.- Appendix: Positivity Properties of Balanced Line Bundles.
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.
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