Frobenius Manifolds and Moduli Spaces for Singularities: Cambridge Tracts in Mathematics, cartea 151
Autor Claus Hertlingen Limba Engleză Hardback – 24 iul 2002
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Specificații
ISBN-13: 9780521812962
ISBN-10: 0521812968
Pagini: 282
Ilustrații: 7 b/w illus.
Dimensiuni: 155 x 236 x 19 mm
Greutate: 0.51 kg
Ediția:New.
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria Cambridge Tracts in Mathematics
Locul publicării:Cambridge, United Kingdom
ISBN-10: 0521812968
Pagini: 282
Ilustrații: 7 b/w illus.
Dimensiuni: 155 x 236 x 19 mm
Greutate: 0.51 kg
Ediția:New.
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria Cambridge Tracts in Mathematics
Locul publicării:Cambridge, United Kingdom
Cuprins
Part I. Multiplication on the Tangent Bundle: 1. Introduction to part 1; 2. Definition and first properties of F-manifolds; 3. Massive F-manifolds and Lagrange maps; 4. Discriminants and modality of F-manifolds; 5. Singularities and Coxeter groups; Part II. Frobenius Manifolds, Gauss-Manin Connections, and Moduli Spaces for Hypersurface Singularities: 6. Introduction to part 2; 7. Connections on the punctured plane; 8. Meromorphic connections; 9. Frobenius manifolds ad second structure connections; 10. Gauss-Manin connections for hypersurface singularities; 11. Frobenius manifolds for hypersurface singularities; 12. ∴μυ-constant stratum; 13. Moduli spaces for singularities; 14. Variance of the spectral numbers.
Recenzii
'… a nice introduction to the theory of Frobenius manifolds …' Zentralblatt für Mathematik
'The book under review gives a very detailed analysis of the category of F-manifolds … the book is clean, rigorous and readable. the researchers in the areas of singularity theory, complex geometry, integrable systems, quantum cohomology, mirror symmetry and sympathetic geometry will find in this book a lot of useful information which has never been given in such detail before.' Proceedings of the Edinburgh Mathematical Society
'… one can say this book is a must for workers in the field of singularity theory.' Duco van Straten, Department of Mathematics, University of Mainz
'The book under review gives a very detailed analysis of the category of F-manifolds … the book is clean, rigorous and readable. the researchers in the areas of singularity theory, complex geometry, integrable systems, quantum cohomology, mirror symmetry and sympathetic geometry will find in this book a lot of useful information which has never been given in such detail before.' Proceedings of the Edinburgh Mathematical Society
'… one can say this book is a must for workers in the field of singularity theory.' Duco van Straten, Department of Mathematics, University of Mainz
Descriere
This book presents the theory of Frobenius manifolds, as well as all the necessary tools and several applications.