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Differential Geometry, Global Analysis, and Topology
Edited by: A. Nicas and W. F. Shadwick
A co-publication of the AMS and Canadian Mathematical Society.
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Conference Proceedings, Canadian Mathematical Society
1992; 185 pp; softcover
Volume: 12
ISBN-10: 0-8218-6017-8
ISBN-13: 978-0-8218-6017-5
List Price: US$62
Member Price: US$49.60
Order Code: CMSAMS/12
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This book contains the proceedings of a special session on differential geometry, global analysis, and topology, held during the Summer Meeting of the Canadian Mathematical Society in June 1990 at Dalhousie University in Halifax. The session featured many fascinating talks on topics of current interest. The articles collected here reflect the diverse interests of the participants but are united by the common theme of the interplay among geometry, global analysis, and topology. Some of the topics include applications to low dimensional manifolds, control theory, integrable systems, Lie algebras of operators, and algebraic geometry. Readers will appreciate the insight the book provides into some recent trends in these areas.

Titles in this series are copublished with the Canadian Mathematical Society. Members of the Canadian Mathematical Society may order at the AMS member price.

Table of Contents

  • J. Bland, M. Kalka, and R. W. Sharpe -- Complete metrics of negative Ricci curvature on open \(3\)-manifolds
  • D. DeTurck, H. Goldschmidt, and J. Talvacchia -- Local existence of connections with prescribed curvature
  • C.Frohman and A. Nicas -- The Alexander polynomial via topological quantum field theory
  • R. B. Gardner and W. F. Shadwick -- An equivalence problem for a two-form and a vector field on \(\mathbb{R}^3\)
  • A. González-López, N. Kamran, and P. J. Olver -- Lie algebras of first order differential operators in two complex variables
  • J. Hurtubise -- Algebraic geometry and completely integrable Hamiltonian systems
  • I. Kupka -- On feedback equivalence
  • J. Millson -- Rational homotopy theory and deformation problems from algebraic geometry
  • C. Peters -- Introduction to the theory of compact complex surfaces
  • C. T. Simpson -- Products of matrices
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