ENGLISH

Floer Homology Groups in Yang-Mills Theory

By S. K. Donaldson

Book information

Publisher
Cambridge University Press
Year
2002
ISBN
0521808030, 9780521808033, 9780511016004
Language
english
Format
PDF
Filesize
1 MB (1095885 bytes)
Series
Cambridge Tracts in Mathematics
Pages
246\245
Time added
2011-06-04 13:46:07

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.

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