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Frobenius manifolds and moduli spaces for singularities /
The author presents the theory of Frobenius manifolds, as well as all the necessary tools and several applications. Readers will find here a careful study of this exciting branch of maths. This book will serve as an excellent resource for researchers and graduate students wishing to work in this are...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
2002.
|
| Colección: | Cambridge tracts in mathematics ;
151. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Multiplication on the tangent bundle
- First examples
- Fast track through the results
- Definition and first properties of F-manifolds
- Finite-dimensional algebras
- Vector bundles with multiplication
- Definition of F-manifolds
- Decomposition of F-manifolds and examples
- F-manifolds and potentiality
- Massive F-manifolds and Lagrange maps
- Lagrange property of massive F-manifolds
- Existence of Euler fields
- Lyashko-Looijenga maps and graphs of Lagrange maps
- Miniversal Lagrange maps and F-manifolds
- Lyashko-Looijenga map of an F-manifold
- Discriminants and modality of F-manifolds
- Discriminant of an F-manifold
- 2-dimensional F-manifolds
- Logarithmic vector fields
- Isomorphisms and modality of germs of F-manifolds
- Analytic spectrum embedded differently
- Singularities and Coxeter groups
- Hypersurface singularities
- Boundary singularities
- Coxeter groups and F-manifolds
- Coxeter groups and Frobenius manifolds
- 3-dimensional and other F-manifolds
- Frobenius manifolds, Gauss-Manin connections, and moduli spaces for hypersurface singularities
- Construction of Frobenius manifolds for singularities
- Moduli spaces and other applications
- Connections over the punctured plane
- Flat vector bundles on the punctured plane
- Lattices
- Saturated lattices
- Riemann-Hilbert-Birkhoff problem
- Spectral numbers globally
- Meromorphic connections
- Logarithmic vector fields and differential forms
- Logarithmic pole along a smooth divisor
- Logarithmic pole along any divisor.