Frobenius manifolds and moduli spaces for singularities [EBook] / Claus Hertling.
Frobenius manifolds and moduli spaces for singularities [EBook] / Claus Hertling.
The relations between Frobenius manifolds and singularity theory are treated here in a rigorous yet accessible manner. For those working in singularity theory or other areas of complex geometry, this book will open the door to the study of Frobenius manifolds. This class of manifolds are now known t...
Personal Name(s):  Hertling, Claus, (author) 

Imprint: 
Cambridge :
Cambridge University Press,
2002

Physical Description: 
1 online resource (ix, 270 pages) 
Note: 
englisch 
ISBN: 
9780521812962 9780511543104 
Series Title: 
Cambridge tracts in mathematics ;
151 
Subject (LOC):  
Full Text 
Table of Contents:
 Multiplication on the tangent bundle
 First examples
 Fast track through the results
 Definition and first properties of Fmanifolds
 Finitedimensional algebras
 Vector bundles with multiplication
 Definition of Fmanifolds
 Decomposition of Fmanifolds and examples
 Fmanifolds and potentiality
 Massive Fmanifolds and Lagrange maps
 Lagrange property of massive Fmanifolds
 Existence of Euler fields
 LyashkoLooijenga maps and graphs of Lagrange maps
 Miniversal Lagrange maps and Fmanifolds
 LyashkoLooijenga map of an Fmanifold
 Discriminants and modality of Fmanifolds
 Discriminant of an Fmanifold
 2dimensional Fmanifolds
 Logarithmic vector fields
 Isomorphisms and modality of germs of Fmanifolds
 Analytic spectrum embedded differently
 Singularities and Coxeter groups
 Hypersurface singularities
 Boundary singularities
 Coxeter groups and Fmanifolds
 Coxeter groups and Frobenius manifolds
 3dimensional and other Fmanifolds
 Frobenius manifolds, GaussManin 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
 RiemannHilbertBirkhoff problem
 Spectral numbers globally
 Meromorphic connections
 Logarithmic vector fields and differential forms
 Logarithmic pole along a smooth divisor
 Logarithmic pole along any divisor.