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Raoul Bott: Collected Papers: Volume 1: Topology and Lie Groups de Robert D. MacPherson

Raoul Bott: Collected Papers: Volume 1: Topology and Lie Groups: Contemporary Mathematicians

Editat de Robert D. MacPherson
en Limba Engleză Hardback – 26 ian 1994
The Collected Papers of Raoul Bott are contained in five volumes, with each volume covering a different subject and each representing approximately a decade of Bott's work. The volumes are:

Volume 1: Topology and Lie Groups (1950's)

Volume 2: Differential Operators (1960's)

Volume 3: Foliations (1970's)

Volume 4: Mathematics Related to Physics (1980's)

Volume 5: Completive Articles and Additional Biographic Material (1990's)
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Specificații

ISBN-13: 9780817636135
ISBN-10: 0817636137
Pagini: 584
Ilustrații: XII, 586 p.
Dimensiuni: 178 x 254 x 40 mm
Greutate: 1.25 kg
Ediția:1994
Editura: Birkhäuser Boston
Colecția Birkhäuser
Seria Contemporary Mathematicians

Locul publicării:Boston, MA, United States

Cuprins

  

Recenzii

  "There is no doubt that the volume will be of immense importance for all interested in modern topology and/or Bott's legacy." 
  -- Zentralblatt für Mathematik (Review of Vol. 1)   
  "Each reader will certainly profit from Bott's elegant style and engagement with the central problems of the subject and time." 
  -- Mathematical Reviews (review of Vol. 1)   
  "The volume (along with the three other volumes) is highly recommended to any mathematical library, institutional as well as individual..."
  -- Mathematical Reviews (Review of Vol. 2)   
  "The volume will be indispensible in every topological library." 
  -- Zentralblatt für Mathematik (Review of Vol. 3)   

Notă biografică

  

Descriere

Descriere de la o altă ediție sau format:
This paper is a greatly expanded account of the preliminary material that appeared in Atiyah & Bott (1980). Part ofthe reason for the long delay between that paper and this present version was that new view-points emerged that added further interest to the topic and enabled us to provide proofs for what had earlier been conjectures. The length of this paper is due to our desire to present the several different aspects of the problem. We feel that this is justified because the main interest lies not so much in the actual applications as in the methods employed and the interaction between different approaches. Because ofits long gestation period and its consequent size, we feel that we owe the reader a substantial and leisurely introduction that puts the paper into historical perspective. In fact, on a personal level, one of the attractions of this subject to us is that it brings together algebraic vector bundles and Morse theory, topics to which we separately made contributions a quarter of a century ago (Atiyah 1955, 1957; Bott 1958, Bott &Samelson 1958). Even better, the catalyst that produced this interaction came from a quite unexpected quarter, namely that of theoretical physics in the form of the Yang-Mills equations.