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E-grāmata: Raoul Bott: Collected Papers: Volume 5

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  • Sērija : Contemporary Mathematicians
  • Izdošanas datums: 26-Mar-2018
  • Izdevniecība: Birkhauser Verlag AG
  • Valoda: eng
  • ISBN-13: 9783319517810
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  • Formāts: PDF+DRM
  • Sērija : Contemporary Mathematicians
  • Izdošanas datums: 26-Mar-2018
  • Izdevniecība: Birkhauser Verlag AG
  • Valoda: eng
  • ISBN-13: 9783319517810

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This book is the fifth and final volume of Raoul Bott’s Collected Papers. It collects all of Bott’s published articles since 1991 as well as some articles published earlier but missing in the earlier volumes. The volume also contains interviews with Raoul Bott, several of his previously unpublished speeches, commentaries by his collaborators such as Alberto Cattaneo and Jonathan Weitsman on their joint articles with Bott, Michael Atiyah’s obituary of Raoul Bott, Loring Tu’s authorized biography of Raoul Bott, and reminiscences of Raoul Bott by his friends, students, colleagues, and collaborators, among them Stephen Smale, David Mumford, Arthur Jaffe, Shing-Tung Yau, and Loring Tu. The mathematical articles, many inspired by physics, encompass stable vector bundles, knot and manifold invariants, equivariant cohomology, and loop spaces. The nonmathematical contributions give a sense of Bott’s approach to mathematics, style, personality, zest for life, and humanity. In one of the articles, from the vantage point of his later years, Raoul Bott gives a tour-de-force historical account of one of his greatest achievements, the Bott periodicity theorem. A large number of the articles originally appeared in hard-to-find conference proceedings or journals. This volume makes them all easily accessible. 

This book also includes a collection of photographs giving a panoramic view of Raoul Bott's life and his interaction with other mathematicians.

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Bibliography of Raoul Bott xiii
Part I: Biographies and Commentaries Photographs 3(1988)
Curriculum Vitae
23(4)
Raoul Bott
Obituary: Raoul Harry Bott, FRS, 1923-2005
27(14)
Sri Michael Atiyah
The Life and Works of Raoul Bott
41(20)
Loring W. Tu
Remembering Raoul Bott (1923-2005)
61(22)
Rodolfo Gurdian
Stephen Smale
David Mumford
Arthur Jaffe
Shing-Tung Yau
Loring W. Tu
Memories of Raoul Bott
83(2)
Dennis Sullivan
Memories of Raoul Bott
85(2)
Thomas G. Goodwillie
Stable Bundles (Commentary on [ 95])
87(2)
Lisa Jeffrey
On E. Verlinde's Formula (Commentary on [ 96])
89(2)
Lisa Jeffrey
Memories of Raoul Bott (Commentary on [ 96])
91(2)
Andras Szenes
On Raoul Bott's "On Invariants of Manifolds" (Commentary on [ 106], [ 107])
93(2)
Dror Bar-Natan
Configuration Space Integrals: Bridging Physics, Geometry, and Topology of Knots and Links (Commentary on [ 106], [ 108], [ 109])
95(6)
Ismar Volie
Integral Invariants of 3-Manifolds (Commentary on [ 111], [ 114])
101(2)
Alberto Cattaneo
Equivariant Characteristic Classes (Commentary on [ 116])
103(4)
Loring W. Tu
On the Genesis of the Woods Hole Fixed Point Theorem (Commentary on [ 118], [ 119], [ 123], [ 124])
107(10)
Loring W. Tu
Commentary on "Surjectivity for Hamiltonian Loop Group Spaces" [ 120]
117(4)
Jonathan Weitsman
Woods Hole (Commentary on [ 124])
121(1870)
Michael Atiyah
Part I. Papers of Raoul Bott Since 1991
Georges de Rham: 1901-1990
125(4)
Raoul Bott
Stable Bundles Revisited
129(20)
Raoul Bott
On E. Verlinde's Formula in the Context of Stable Bundles
149(14)
Raoul Bott
Topological Aspects of Loop Groups
163(22)
Raoul Bott
On Knot and Manifold Invariants
185(20)
Raoul Bott
Book Review: The Geometry and Physics of Knots by Michael Atiyah
205(10)
Raoul Bott
For the Chern Volume
215(6)
Raoul Bott
Life on the Slippery Lane-Between Mathematics and Physics
221(12)
Raoul Bott
Reflections on the Theme of the Poster
233(12)
Raoul Bott
Luncheon Talk and Nomination for Stephen Smale
245(10)
Raoul Bott
The Work of Robert D. MacPherson
255(4)
Raoul Bott
On the Self-Linking of Knots
259(44)
Raoul Bott
Clifford Taubes
On Invariants of Manifolds
303(14)
Raoul Bott
Configuration Spaces and Imbedding Invariants
317(20)
Raoul Bott
Configuration Spaces and Imbedding Problems
337(10)
Raoul Bott
Critical Point Theory in Mathematics and in Mathematical Physics
347(34)
Raoul Bott
Integral Invariants of 3-Manifolds
381(46)
Raoul Bott
Alberto S. Cattaneo
Lars Valerian Ahlfors (1907-1996)
427(10)
Raoul Bott
Clifford Earle
Dennis Hejhal
James Jenkins
Troels Jorgensen
Steven G. Krantz
Albert Marden
Robert Osserman
An Introduction to Equivariant Cohomology
437(26)
Raoul Bott
Integral Invariants of 3-Manifolds, II
463(16)
Raoul Bott
Alberto S. Cattaneo
A Remark on Integral Geometry
479(28)
Raoul Bott
Clifford Taubes
Equivariant Characteristic Classes in the Cartan Model
507(20)
Raoul Bott
Loring W. Tu
Interview with Raoul Bott
527(12)
Allyn Jackson
Response to Shimura's Letter
539(4)
Raoul Bott
Introduction to Woods Hole Mathematics: Perspectives in Mathematics and Physics
543(10)
Raoul Bott
Surjectivity for Hamiltonian Loop Group Spaces
553(30)
Raoul Bott
Susan Tolman
Jonathan Weitsman
On the Early History of the Periodicity Theorem
583(20)
Raoul Bott
Part III. Earlier Articles Not Included in Prior Volumes of Collected Papers
In Memoriam Sumner B. Myers 1910-1955
603(8)
Raoul Bott
T.H. Hildebrandt
R.K. Ritt
E.H. Rothe
H. Samelson
Induced Representations
611(8)
Raoul Bott
Report on the Fixed Point Formula, Seminaire N. Bourbaki
619(10)
Raoul Bott
Report on the Woods Hole Fixed Point Theorem Seminar
629(8)
Michael Atiyah
Raoul Bott
Part IV. Speeches
On the Occasion of Twenty-Five Years of Service at Harvard.
637(10)
Raoul Bott
Convocation Address at McGill
647(8)
Raoul Bott
On Receiving an Honorary Degree at Carnegie Mellon University
655(6)
Raoul Bott
On Mathematics, Commencement Lecture at the University of Costa Rica.
661
Raoul Bott
Loring W. Tu was born in Taipei, Taiwan, and grew up in Taiwan, Canada, and the United States. He attended McGill University and Princeton University as an undergraduate, and obtained his Ph.D. from Harvard University under the supervision of Phillip A. Griths. He has taught at the University of Michigan, Ann Arbor, and at Johns Hopkins University, and is currently Professor of Mathematics at Tufts University in Massachusetts.An algebraic geometer by training, he has done research at the interface of algebraic geometry, topology, and differential geometry, including Hodge theory, degeneracy loci, moduli spaces of vector bundles, and equivariant cohomology. He is the coauthor with Raoul Bott of Differential Forms in Algebraic Topology and the author of "An Introduction to Manifolds and Differential Geometry: Connections, Curvature, and Characteristic Classes".