Free PDF Floer Homology Groups in Yang-Mills Theory (Cambridge Tracts in Mathematics), by S. K. Donaldson
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Floer Homology Groups in Yang-Mills Theory (Cambridge Tracts in Mathematics), by S. K. Donaldson
Free PDF Floer Homology Groups in Yang-Mills Theory (Cambridge Tracts in Mathematics), by S. K. Donaldson
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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 self-dual 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 Seiberg-Witten 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.
- Sales Rank: #1354742 in Books
- Brand: Brand: Cambridge University Press
- Published on: 2002-02-11
- Original language: English
- Number of items: 1
- Dimensions: 8.98" h x .67" w x 5.98" l, 1.05 pounds
- Binding: Hardcover
- 246 pages
- Used Book in Good Condition
Review
"This book gives a thorough and extensive treatment...this text is a wonderfully written exposition of Floer homology which no mathematics library should be without." Mathematical Reviews
About the Author
fm.author_biographical_note1
Bela Bollobas has taught at Cambridge University's Department of Pure Maths and Mathematical Statistics for over 25 years and has been a fellow of Trinity College for 30 years. Since 1996, he has held the unique Chair of Excellence in the Department of Mathematical Sciences at the University of Memphis. Bollobas has previously written over 250 research papers in extremal and probabilistic combinatorics, functional analysis, probability theory, isoperimetric inequalities and polynomials of graphs.
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