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Full Description
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.
Contents
[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.
