From Geometry to Quantum Mechanics

Global Analysis and Infinite-Dimensional Lie Groups.- Aspects of Stochastic Global Analysis.- A Lie Group Structure for Automorphisms of a Contact Weyl Manifold.- Riemannian Geometry.- Projective Structures of a Curve in a Conformal Space.- Deformations of Surfaces Preserving Conformal or Similarity Invariants.- Global Structures of Compact Conformally Flat Semi-Symmetric Spaces of Dimension 3 and of Non-Constant Curvature.- Differential Geometry of Analytic Surfaces with Singularities.- Symplectic Geometry and Poisson Geometry.- The Integration Problem for Complex Lie Algebroids.- Reduction, Induction and Ricci Flat Symplectic Connections.- Local Lie Algebra Determines Base Manifold.- Lie Algebroids Associated with Deformed Schouten Bracket of 2-Vector Fields.- Parabolic Geometries Associated with Differential Equations of Finite Type.- Quantizations and Noncommutative Geometry.- Toward Geometric Quantum Theory.- Resonance Gyrons and Quantum Geometry.- A Secondary Invariant of Foliated Spaces and Type III? von Neumann Algebras.- The Geometry of Space-Time and Its Deformations from a Physical Perspective.- Geometric Objects in an Approach to Quantum Geometry.