By S. K. Donaldson
This monograph offers a radical exposition of Floer's seminal paintings through the Eighties from a modern standpoint. the fabric contained right here used to be built with particular purposes in brain. although, it has now develop into transparent that the options used are vital for plenty of present components of analysis. a tremendous instance will be symplectic thought and gluing difficulties for self-dual metrics and different metrics with targeted holonomy. the writer writes with the massive photo consistently in brain. in addition to a overview of the present country of data, there are sections at the most likely course of destiny examine. integrated during this are connections among Floer teams and the prestigious Seiberg-Witten invariants. the consequences defined during this quantity shape a part of the world referred to as Donaldson thought. the importance of this paintings is such that the writer was once provided the celebrated Fields Medal for his contribution.
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