Description

Book Synopsis
The seminal work of Floer has now been placed in a contemporary setting. The author of this monograph writes with the big picture constantly in mind, reviewing current knowledge and predicting future directions. This forms part of the work for which Simon Donaldson was awarded the prestigious Fields Medal.

Trade 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

Table of Contents
1. Introduction; 2. Basic material; 3. Linear analysis; 4. Gauge theory and tubular ends; 5. The Floer homology groups; 6. Floer homology and 4-manifold invariants; 7. Reducible connections and cup products; 8. Further directions.

Floer Homology Groups in YangMills Theory 147 Cambridge Tracts in Mathematics Series Number 147

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    A Hardback by S. K. Donaldson, M. Furuta, D. Kotschick

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      View other formats and editions of Floer Homology Groups in YangMills Theory 147 Cambridge Tracts in Mathematics Series Number 147 by S. K. Donaldson

      Book details

      Publisher Cambridge University Press
      Published 1 October 2002
      ISBN-13 9780521808033
      978-0521808033
      ISBN-10 0521808030
      Also in:
      Algebraic topology Applied mathematics

      Description

      Book Synopsis
      The seminal work of Floer has now been placed in a contemporary setting. The author of this monograph writes with the big picture constantly in mind, reviewing current knowledge and predicting future directions. This forms part of the work for which Simon Donaldson was awarded the prestigious Fields Medal.

      Trade 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

      Table of Contents
      1. Introduction; 2. Basic material; 3. Linear analysis; 4. Gauge theory and tubular ends; 5. The Floer homology groups; 6. Floer homology and 4-manifold invariants; 7. Reducible connections and cup products; 8. Further directions.

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