Floer Homology Groups in Yang-Mills Theory (Cambridge Tracts in Mathematics)
Editorial Reviews
Review
'... relatively short but very infomative, modern and clearly written ... I stronly recommend the book to both specialists and graduate students'. S. Merkulov, Proceedings of the Edinburgh Mathematical Society
'... a compact but very readable account.' Mathematika
'... gives a nice account of the theory of an interesting topic in contemporary geometry and topology. It can be strongly recommended ...'. EMS Newsletter
Book Description
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.
Floer Homology Groups in Yang-Mills Theory (Cambridge Tracts in Mathematics)
Floer Homology Groups in Yang-Mills Theory (Cambridge Tracts in Mathematics),S. K. Donaldson,M. Furuta,D. Kotschick,B. Bollobas,W. Fulton,A. Katok,F. Kirwan,P. Sarnak,B. Simon,Cambridge University Press,0521808030,Differential Geometry,Geometry - Algebraic,Geometry - Differential,Geometry, Differential,Mathematics,Quantum Field Theory,Quantum Theory,Science,Science/Mathematics,Yang-Mills theory,Algebraic topology,Applied mathematics,Geometry,Mathematics / Applied
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