Raoul Bott: Collected Papers: Volume 5

ISBN-13: 9783319517797 / Angielski / Twarda / 2018 / 676 str.

Loring W. Tu

Opis

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 The volume also contains interviews with Raoul Bott, several of his previously unpublished speeches, commentaries by his collaborators such as Alberto Cattaneo and Jonathan Weitsman on their joint articles with Bott, Michael Atiyah's obituary of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.
It also features a collection of photographs giving a panoramic view of Raoul Bott's life and his interaction with other mathematicians.

Spis treści

Preface.- Photographs.- Curriculum Vitae.- Bibliography of Raoul Bott.- Part I. Biographies and Commentaries: M. F. Atiyah, R. H. Bott, Biographical Memoirs of Fellows.- L. W. Tu, The life and works of Raoul Bott.- L. W. Tu, coordinating editor, Remembering Raoul Bott (1923–2005), with contributions from R. Gurdian, S. Smale, D. Mumford, A. Jaffe, S.-T. Yau, and L. W. Tu.- L. Jeffrey, Stable bundles.- L. Jeffrey, E. Verlinde’s formula.- A. Szenes, Memories of Raoul Bott.- D. Bar-Natan, On Raoul Bott’s “On invariants of manifolds”.- I. Voli´c, Configuration space integrals: bridging physics, geometry, and topology of knots and links.- A. Cattaneo, Commentary on joint papers “Integral invariants of 3-manifolds, I, II”.- L. W. Tu, Equivariant characteristic classes.- L. W. Tu, On the genesis of the Woods Hole fixed point formula.- J. Weitsman, Commentary on joint paper “Surjectivity for Hamiltonian loop group spaces”.- M. F. Atiyah, Commentary on “Report on the Woods Hole fixed point seminar”.- Part II. Papers of Raoul Bott Since 1991.- Part III. Earlier Articles Not Included in Prior Volumes of Collected Papers.- Part IV. Speeches.

O autorze

​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".