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Geometry and Topology of Manifolds
This book contains expository papers that give an up-to-date account of recent developments and open problems in the geometry and topology of manifolds, along with several research articles that present new results appearing in published form for the first time. The unifying theme is the problem of understanding manifolds in low dimensions, notably in dimensions three and four, and the techniques include algebraic topology, surgery theory, Donaldson and Seiberg-Witten gauge theory, Heegaard Floer homology, contact and symplectic geometry, and Gromov-Witten invariants. The articles collected for this volume were contributed by participants of the Conference "Geometry and Topology of Manifolds" held at McMaster University on May 14-18, 2004 and are representative of the many excellent talks delivered at the conference.
Nine Lives
Lenni wants to find someone to understand her and the new girl could just be that person Lenni can't please anyone lately. At school, her friends want her to kiss someone for a stupid competition. At home, her grandmother wants her to be more ladylike. And on the playing field, her friend Adam has started acting like a big weirdo around her. Then Lenni meets Jo, the new girl at school, and everything feels so normal. Jo is cool, fun, and unlike anyone Lenni's ever known—finally, someone's on Lenni's wavelength!
Efficient Polymorphic Calls
The implementation of object-oriented languages has been an active topic of research since the 1960s when the first Simula compiler was written. The topic received renewed interest in the early 1980s with the growing popularity of object-oriented programming languages such as c++ and Smalltalk, and got another boost with the advent of Java. Polymorphic calls are at the heart of object-oriented languages, and even the first implementation of Simula-67 contained their classic implementation via virtual function tables. In fact, virtual function tables predate even Simula-for example, Ivan Sutherland's Sketchpad drawing editor employed very similar structures in 1960. Similarly, during the 1970...
Topological Recursion and its Influence in Analysis, Geometry, and Topology
This volume contains the proceedings of the 2016 AMS von Neumann Symposium on Topological Recursion and its Influence in Analysis, Geometry, and Topology, which was held from July 4–8, 2016, at the Hilton Charlotte University Place, Charlotte, North Carolina. The papers contained in the volume present a snapshot of rapid and rich developments in the emerging research field known as topological recursion. It has its origin around 2004 in random matrix theory and also in Mirzakhani's work on the volume of moduli spaces of hyperbolic surfaces. Topological recursion has played a fundamental role in connecting seemingly unrelated areas of mathematics such as matrix models, enumeration of Hurwit...
Lake Taihu, China
2 In China, there are more than 2,759 lakes with surface area greater than 1km , and 2 the total lake area is 91,019km . One-third of these lakes are freshwater lakes, and the majority are situated in the middle and lower reaches of the Changjiang River or in eastern China’s coastal areas. These lakes function as drinking water supplies, ood control systems, aquaculture and tourism resources, navigation channels, etc. Recently, many shallow lakes in China have been subject to rapid eutrophication and suffer from algal blooms. This issue has resulted in a shortage of drinking water and in degradation of their ecosystems. The control of eutrophication of shallow lakes is one of the main issu...
Neuro-Ophthalmology
This book provides a practical guide in neuro-ophthalmology. It contains more than 80 carefully selected neuro-ophthalmic cases. It covers visual afferent (Part 1) and efferent disorders (Part 2): the various optic neuropathies, diplopia from ocular and neurologic pathogen, pupil and lid abnormality. Each case presents with neuro-ophthalmology examination format, followed by ancillary test, finial diagnose, treatment and prognosis. A short review or comment highlights the important points of these disorders, up to date progress and literature are addressed in part of them. The novel optical coherence tomography imaging technique is also introduced to interpretation some visual pathway disorders and for follow-up. The massive photographs and neuro-imaging will help the reader for easy following. As a case-based practical manual, this book is a clinical reference for general ophthalmologist, neurologist, senior ophthalmology resident, specialist and fellow, and physician who are interested in neuro-ophthalmology field.
Dynamic Response and Deformation Characteristic of Saturated Soft Clay under Subway Vehicle Loading
Involving several areas of geological engineering, geotechnical engineering and tunnel engineering, this book describes the soft soil deformation characteristics and dynamic responses induced by subway vibration load. Based on field monitoring and laboratory testing data, with both comprehensive micro-and macroanalysis, the authors present dynamic characteristics and deformation settlement of saturated soft clay surrounding subway tunnels using dynamic and static methodology. Mechanism of deformation, failure in microstructure of soft clay soil, dynamic response, macro deformation and settlement are all discussed and analyzed thoroughly and systematically. Some of the research findings in this book have been widely applied by large subway companies and will have broader application prospects in future. All the above make this book a valuable reference not only for technical engineers working in subway design or construction but also for advanced graduate students. Prof. Yiqun Tang works at the Department of Geotechnical Engineering, Tongji University, Shanghai, China.
Chemical Sensors
Chemical sensors contain two basic functions: recognition and transduction, and provide real-time information about substances rather than physical quantities. Such devices are extensively utilized for various applications in diverse fields. The book focuses on the physical, chemical, optical, and electrical working mechanisms of different types of sensors integrated with various smart nanomaterials and composites. The mesmerizing properties of numerous materials and their fruitful applications for detecting numerous chemical parameters are discussed here. The book provides recent progress in the chemical sensors field and connects materials, physics, chemistry, and engineering, and therefore, is suitable for engineers, industrial, and academic researchers.
Gromov-Witten Theory of Quotients of Fermat Calabi-Yau Varieties
Gromov-Witten theory started as an attempt to provide a rigorous mathematical foundation for the so-called A-model topological string theory of Calabi-Yau varieties. Even though it can be defined for all the Kähler/symplectic manifolds, the theory on Calabi-Yau varieties remains the most difficult one. In fact, a great deal of techniques were developed for non-Calabi-Yau varieties during the last twenty years. These techniques have only limited bearing on the Calabi-Yau cases. In a certain sense, Calabi-Yau cases are very special too. There are two outstanding problems for the Gromov-Witten theory of Calabi-Yau varieties and they are the focus of our investigation.
