Differential Geometry, Global Analysis, and Topology: Proceedings of a Special Session of the Canadian Mathematical Society Summer Meeting Held June 1-3, 1990

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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.
 

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Contents

Complete Metrics of Negative Ricci Curvature on Open 3Manifolds
1
Local Existence of Connections with Prescribed Curvature
13
The Alexander Polynomial via Topological Quantum Field Theory
27
An Equivalence Problem for a TwoForm and a Vector Field on R3
41
Lie Algebras of First Order Differential Operators in Two Complex Variables
51
Algebraic Geometry and Completely Integrable Hamiltonian Systems
85
On Feedback Equivalence
105
Rational Homotopy Theory and Deformation Problems from Algebraic Geometry
119
Introduction to the Theory of Compact Complex Surfaces
129
Products of Matrices
157
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