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Stable mappings and their singularities

- M. Golubitsky, V. Guillemin
- Mathematics
- 1973

I: Preliminaries on Manifolds.- 1. Manifolds.- 2. Differentiable Mappings and Submanifolds.- 3. Tangent Spaces.- 4. Partitions of Unity.- 5. Vector Bundles.- 6. Integration of Vector Fields.- II:… Expand

Symplectic Techniques in Physics

- V. Guillemin, S. Sternberg
- Mathematics
- 1984

Preface 1. Introduction 2. The geometry of the moment map 3. Motion in a Yang-Mills field and the principle of general covariance 4. Complete integrability 5. Contractions of symplectic homogeneous… Expand

The spectrum of positive elliptic operators and periodic bicharacteristics

- J. Duistermaat, V. Guillemin
- Mathematics
- 1 February 1975

Let X be a compact boundaryless C ∞ manifold and let P be a positive elliptic self-adjoint pseudodifferential operator of order m>0 on X. For technical reasons we will assume that P operates on… Expand

Geometric quantization and multiplicities of group representations

- V. Guillemin, S. Sternberg
- Mathematics
- 1 October 1982

The Heisenberg uncertainty principle says that it is impossible to determine simultaneously the position and momentum of a quantum-mechanical particle. This can be rephrased as follows: the smallest… Expand

Convexity properties of the moment mapping. II

- V. Guillemin, S. Sternberg
- Mathematics
- 1 October 1982

be its associated momen t mapping. (See w for definitions.) The set, @(X), is the union of co-adjoint orbits. The main result of this paper is a description of the orbit structure of this set. To… Expand

Supersymmetry and equivariant de Rham theory

- V. Guillemin, S. Sternberg
- Mathematics
- 1999

1 Equivariant Cohomology in Topology.- 3 The Weil Algebra.- 4 The Weil Model and the Cartan Model.- 5 Cartan's Formula.- 6 Spectral Sequences.- 7 Fermionic Integration.- 8 Characteristic Classes.- 9… Expand

Symplectic Fibrations And Multiplicity Diagrams

- V. Guillemin, E. Lerman, S. Sternberg
- Mathematics
- 1996

1. Symplectic fibrations 2. Examples of symplectic fibrations: the coadjoint orbit hierarchy 3. Duistermaat-Heckman polynomials 4. Symplectic fibrations and multiplicity diagrams 5. Computations with… Expand

A New Proof of Weyl's Formula on the Asymptotic Distribution of Eigenvalues

- V. Guillemin
- Mathematics
- 1 February 1985

One of the more perplexing problems of finite particle quantum mechanics is to find the appropriate quantum mechanical description of a given classical mechanical system. Unfortunately, from the… Expand

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