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Polyfold and Fredholm Theory
This book pioneers a nonlinear Fredholm theory in a general class of spaces called polyfolds. The theory generalizes certain aspects of nonlinear analysis and differential geometry, and combines them with a pinch of category theory to incorporate local symmetries. On the differential geometrical side, the book introduces a large class of `smooth’ spaces and bundles which can have locally varying dimensions (finite or infinite-dimensional). These bundles come with an important class of sections, which display properties reminiscent of classical nonlinear Fredholm theory and allow for implicit function theorems. Within this nonlinear analysis framework, a versatile transversality and perturb...
The Floer Memorial Volume
Andreas Floer died on May 15, 1991 an untimely and tragic death. His visions and far-reaching contributions have significantly influenced the developments of mathematics. His main interests centered on the fields of dynamical systems, symplectic geometry, Yang-Mills theory and low dimensional topology. Motivated by the global existence problem of periodic solutions for Hamiltonian systems and starting from ideas of Conley, Gromov and Witten, he developed his Floer homology, providing new, powerful methods which can be applied to problems inaccessible only a few years ago. This volume opens with a short biography and three hitherto unpublished papers of Andreas Floer. It then presents a colle...
Symplectic Invariants and Hamiltonian Dynamics
Analysis of an old variational principal in classical mechanics has established global periodic phenomena in Hamiltonian systems. 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.
Fortschritte der Chemie organischer Naturstoffe / Progress in the Chemistry of Organic Natural Products
Glycosmis is a clearly defined genus within the tribe Clauseneae of the Aurantioideae subfamily of the family Rutaceae comprising about 40 species (1). Its range of distribution is centered in south and southeast Asia (India, Sri Lanka, Myanmar, Thailand, Malaysia, Indonesia) and extends to south China and Taiwan as well as to New Guinea and north Australia. Exceptions are only cultivated species like the Chinese G. parvijiora (Sims) Little, formerly called G. citrifolia (Willd. ) Lindley, which became naturalized in tropical America and Africa (Angola) (1). The shrubs or small trees are unarmed and possess pinnate or simple leaves with translucent punctate glands emitting an aromatic odor w...
Introduction to Symplectic Topology
This first edition of this book quickly became an established text in this fast-developing branch of mathematics. This second edition has been significantly revised and expanded. It includes a section on new developments and an expanded discussion of Taubes' and Donaldson's recent results.
Contemporary Topics in Analytical and Clinical Chemistry
1. Surface Characterization of Biological Materials by X-Ray Photoelectron Spectroscopy.- 2. Surface Analysis using Energetic Ions.- 3. A Synergic Approach to Graduate Research in Spectroscopy and Spectrochemical Analysis.- 4. Correlation Methods in Chemical Data Measurement.- 5. Signal-to-Noise Ratios in Mass Spectroscopic Ion-Current-Measurement Systems.- 6. Analytical Techniques for the Study of Biological Membranes.
