## Encyclopedia of mathematical physics, Volume 1The Encyclopedia of Mathematical Physics provides a complete resource for researchers, students and lecturers with an interest in mathematical physics. It enables readers to access basic information on topics peripheral to their own areas, to provide a repository of the core information in the area that can be used to refresh the researcher's own memory banks, and aid teachers in directing students to entries relevant to their course-work. The Encyclopedia does contain information that has been distilled, organised and presented as a complete reference tool to the user and a landmark to the body of knowledge that has accumulated in this domain. It also is a stimulus for new researchers working in mathematical physics or in areas using the methods originated from work in mathematical physics by providing them with focused high quality background information. * First comprehensive interdisciplinary coverage * Mathematical Physics explained to stimulate new developments and foster new applications of its methods to other fields * Written by an international group of experts * Contains several undergraduate-level introductory articles to facilitate acquisition of new expertise * Thematic index and extensive cross-referencing to provide easy access and quick search functionality * Also available online with active linking. |

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### Contents

Location references refer to the volume number and page number separated by a colon | 1 |

Painleve Equations N Joshi | 6 |

Stability of Matter J P Solovej | 8 |

Copyright | |

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### Common terms and phrases

4-manifold asymptotic attractor boundary bounded bundle classical cohomology compact complex computed connection consider constant construction corresponding curvature D-branes defined deformation quantization denote density derived described diffeomorphisms differential dimension dimensional Dirac Dirac operator domain Donaldson invariants dynamics Einstein elliptic energy equations equivalent ergodic example exists fermions finite Floer formal formula function gauge theory geometry given global graph gravitational Hamiltonian Hilbert space holomorphic homology hyperbolic infinite-dimensional instanton integral interaction invariant isomorphism Lagrangian Lie algebra linear mass Mathematical Physics matrix mean curvature measure metric moduli space obtained operator orbit parameter particles perturbation phase Poisson Poisson bracket polynomial problem properties quantum field theory random representation Riemannian satisfies scalar scalar curvature Seiberg-Witten smooth solution spacetime spin star product structure surface symmetry symplectic manifold tensor theorem tion topological transformation University variables wave Weyl Witten Yang-Mills zero