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Floer Homology Groups in YangMills Theory (Cambridge Tracts in Mathematics, Series Number 147),New
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This monograph gives a thorough exposition of Floer's seminal work during the 1980s from a contemporary viewpoint. The material contained here was developed with specific applications in mind. However, it has now become clear that the techniques used are important for many current areas of research. An important example would be symplectic theory and gluing problems for selfdual metrics and other metrics with special holonomy. The author writes with the big picture constantly in mind. As well as a review of the current state of knowledge, there are sections on the likely direction of future research. Included in this are connections between Floer groups and the celebrated SeibergWitten invariants. The results described in this volume form part of the area known as Donaldson theory. The significance of this work is such that the author was awarded the prestigious Fields Medal for his contribution.
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- Q: How many pages does this book have? A: This book has two hundred forty-six pages. It offers an in-depth exploration of Floer homology groups.
- Q: What is the binding type of this book? A: The binding type of this book is hardcover. This provides durability and a premium feel for readers.
- Q: What are the dimensions of this book? A: The dimensions are six inches in length, zero point five one inches in width, and nine point zero two inches in height. These dimensions make it easy to handle and store.
- Q: Who is the author of this book? A: The author is S. K. Donaldson. He is renowned for his contributions to mathematics, particularly in the field of geometry.
- Q: What is the main subject of this book? A: The main subject is Floer homology groups in Yang-Mills theory. It explores advanced mathematical concepts in a contemporary context.
- Q: Is this book suitable for beginners? A: This book is primarily aimed at readers with a background in mathematics. It delves into complex topics that may not be suitable for beginners.
- Q: What are the key topics covered in this book? A: Key topics include symplectic theory, gluing problems, self-dual metrics, and connections between Floer groups and Seiberg-Witten invariants. These are critical areas in advanced mathematics.
- Q: Can this book be used for research purposes? A: Yes, this book is suitable for research purposes. It provides insights and techniques that are applicable in various current research areas.
- Q: What is the recommended reading level for this book? A: This book is recommended for graduate students and professionals in mathematics. It requires a solid understanding of advanced mathematical concepts.
- Q: Is there a review of current knowledge in this book? A: Yes, the book includes a review of the current state of knowledge in Floer homology groups. It also discusses future research directions.
- Q: How should I store this book? A: Store this book upright on a shelf, away from direct sunlight and moisture. This will help maintain its condition over time.
- Q: What if the book arrives damaged? A: If the book arrives damaged, you should contact the seller for a return or replacement. Ensure to keep the original packaging for a smoother process.
- Q: Can I clean this hardcover book? A: Yes, you can clean the hardcover gently with a dry cloth. Avoid using water or cleaning solutions that may damage the cover.
- Q: Does this book contain illustrations or diagrams? A: No, this book does not contain illustrations or diagrams. It focuses on textual explanations of theoretical concepts.
- Q: Is there a warranty or guarantee for this book? A: Typically, books do not come with a warranty. You can check the retailer's return policy for specific guarantees.
- Q: Are there any similar books in this field? A: Yes, there are other books in the field of applied mathematics and topology that cover related topics. However, this book is unique in its focus on Floer homology.