Floer Homology Groups in YangMills Theory (Cambridge Tracts in Mathematics, Series Number 147),New

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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Frequently Asked Questions

  • Q: What is the main focus of 'Floer Homology Groups in Yang-Mills Theory'? A: The book provides a thorough exposition of Floer's work from the 1980s, focusing on its significance in contemporary mathematics and applications in areas like symplectic theory and Donaldson theory.
  • Q: Who is the author of this monograph? A: The author of 'Floer Homology Groups in Yang-Mills Theory' is S. K. Donaldson, who is recognized for his significant contributions to mathematics, including being awarded the Fields Medal.
  • Q: What is the publication date of this book? A: The book was published on February 11, 2002.
  • Q: How many pages does this book contain? A: This monograph contains 246 pages.
  • Q: What type of binding does this book have? A: The book is available in hardcover binding.
  • Q: Is this book suitable for beginners in mathematics? A: While the book covers essential concepts, it may be more suitable for readers with a foundational understanding of advanced mathematics and related fields.
  • Q: What are some key topics discussed in the book? A: Key topics include Floer groups, Seiberg-Witten invariants, and their connections to Donaldson theory, as well as insights into future research directions.
  • Q: Is the book in new or used condition? A: The book is listed as in new condition.
  • Q: What is the significance of Floer's work mentioned in the book? A: Floer's work is significant for its applications across various fields in mathematics, particularly in symplectic theory and the study of self-dual metrics.
  • Q: Can this book be used for research purposes? A: Yes, the book is well-suited for research purposes, offering comprehensive insights and connections valuable to current mathematical inquiries.