By S. K. Donaldson
This monograph provides a radical exposition of Floer's seminal paintings through the Eighties from a modern perspective. the fabric contained the following used to be built with particular functions in brain. besides the fact that, it has now turn into transparent that the strategies used are very important for lots of present parts of analysis. an immense instance will be symplectic thought and gluing difficulties for self-dual metrics and different metrics with precise holonomy. the writer writes with the massive photograph always in brain. in addition to a overview of the present nation of information, there are sections at the most likely course of destiny study. incorporated during this are connections among Floer teams and the prestigious Seiberg-Witten invariants. the implications defined during this quantity shape a part of the world often called Donaldson thought. the importance of this paintings is such that the writer used to be provided the distinguished Fields Medal for his contribution.
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