Singularities of Differentiable Maps, Volume 2 Monodromy and Asymptotics of Integrals
Originally published in the 1980s, Singularities of Differentiable Maps: Monodromy and Asymptotics of Integrals was the second of two volumes that together formed a translation of the authors' influential Russian monograph on singularity theory. This uncorrected softcover reprint of the work b...
| Autor principal: | |
|---|---|
| Autor Corporativo: | |
| Otros Autores: | , |
| Formato: | Libro electrónico |
| Idioma: | Inglés |
| Publicado: |
Boston :
Birkhäuser Boston
2012.
|
| Colección: | Modern Birkhäuser Classics.
Springer eBooks. |
| Acceso en línea: | Conectar con la versión electrónica |
| Ver en Universidad de Navarra: | https://innopac.unav.es/record=b32906717*spi |
Tabla de Contenidos:
- Part I. The topological structure of isolated critical points of functions
- Introduction
- Elements of the theory of Picard-Lefschetz
- The topology of the non-singular level set and the variation operator of a singularity
- The bifurcation sets and the monodromy group of a singularity
- The intersection matrices of singularities of functions of two variables
- The intersection forms of boundary singularities and the topology of complete intersections
- Part II. Oscillatory integrals
- Discussion of results
- Elementary integrals and the resolution of singularities of the phase
- Asymptotics and Newton polyhedra
- The singular index, examples
- Part III. Integrals of holomorphic forms over vanishing cycles
- The simplest properties of the integrals
- Complex oscillatory integrals
- Integrals and differential equations
- The coefficients of series expansions of integrals, the weighted and Hodge filtrations and the spectrum of a critical point
- The mixed Hodge structure of an isolated critical point of a holomorphic function
- The period map and the intersection form
- References
- Subject Index.
