Raoul Bott: Collected Papers (Contemporary Mathematicians) de Robert D. MacPherson

Raoul Bott: Collected Papers: Volume 4: Mathematics Related to Physics: Contemporary Mathematicians

Robert D. MacPherson

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)

Most of the papers in this volume deal with two physical-inspired themes: the Yang-Mills equations and the rigidity phenomena of vector bundles. It also contains Bott's own commentaries on a few of the papers, as well as a tribute by Clifford Taubes.

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Paperback (2)	633^.10 lei 38-44 zile
Birkhäuser Boston – 30 sep 2011	633^.10 lei 38-44 zile
Birkhäuser Boston – 14 feb 2012	1146^.85 lei 38-44 zile
Hardback (4)	693^.49 lei 6-8 săpt.
Birkhäuser Boston – 19 dec 1994	693^.49 lei 6-8 săpt.
Birkhäuser Boston – 26 ian 1994	1035^.21 lei 6-8 săpt.
Birkhäuser Boston – 22 dec 1994	1090^.09 lei 6-8 săpt.
Birkhäuser Boston – iul 1994	1211^.14 lei 6-8 săpt.

Preț

Express

Paperback (2)

633^.10 lei 38-44 zile

Birkhäuser Boston – 30 sep 2011

633^.10 lei 38-44 zile

Birkhäuser Boston – 14 feb 2012

1146^.85 lei 38-44 zile

Hardback (4)

693^.49 lei 6-8 săpt.

Birkhäuser Boston – 19 dec 1994

693^.49 lei 6-8 săpt.

Birkhäuser Boston – 26 ian 1994

1035^.21 lei 6-8 săpt.

Birkhäuser Boston – 22 dec 1994

1090^.09 lei 6-8 săpt.

Birkhäuser Boston – iul 1994

1211^.14 lei 6-8 săpt.

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Cuprins

[72] On Some Recent Development in Yang-Mills Theory.- [73] (with R. Seeley) Some Remarks on the Paper of Callias.- [74] Some Recollections from 30 Years Ago.- [75] Equivariant Morse Theory and the Yang-Mills Equation on Riemann Surfaces.- [76] Morse Theoretic Aspects of Yang-Mills Theory.- [77] An Equivariant Setting of the Morse Theory.- [78] Marston Morse and his Mathematical Works.- [80] Lectures on Morse Theory, Old and New.- [81] (with M.F. Atiyah) The Yang-Mills Equations Over Riemann Surfaces.- [82] (with M.F. Atiyah) The Moment Map and Equivariant Cohomology.- [83] On Topology and Other Things.- [84] On Some Recent Interactions Between Mathematics and Physics.- [85] On Characteristic Classes and Continuous Cohomology.- [86] Jerusalem Lectures.- [87] On the Fixed Point Formula and the Rigidity Theorems of Witten.- [88] On Mathematics and Physics.- [89] On Induced Representations.- [91] (with C. Taubes) On the Rigidity Theorem of Witten.- [92] Morse Theory Indomitable.- [93] Remarks Upon Receiving the Steele Career Prize at the Columbus Meeting of the A.M.S..- Errata.- Permissions — Volume 4.

Descriere

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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.

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)

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