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  1. Home
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  3. Frobenius Manifolds and Moduli Spaces for Singularities
  • Cited by 116
  • Claus Hertling, Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig
Publisher:
Cambridge University Press
Online publication date:
September 2009
Print publication year:
2002
Online ISBN:
9780511543104
DOI:
https://doi.org/10.1017/CBO9780511543104
Subjects:
Mathematics (general), Mathematics, Real and Complex Analysis, Geometry and Topology
Series:
Cambridge Tracts in Mathematics (151)
Information

Book description

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 to be relevant for the study of singularity theory, quantum cohomology, mirror symmetry, symplectic geometry and integrable systems. The first part of the book explains the theory of manifolds with a multiplication on the tangent bundle. The second presents a simplified explanation of the role of Frobenius manifolds in singularity theory along with all the necessary tools and several applications. Readers will find here a careful and sound study of the fundamental structures and results in this exciting branch of maths. This book will serve as an excellent resource for researchers and graduate students who wish to work in this area.

Reviews

‘… a nice introduction to the theory of Frobenius manifolds …’

Source: 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.’

Source: 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

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