Frobenius manifolds and moduli spaces for singularities
Hertling, Claus
Frobenius manifolds and moduli spaces for singularities - Cambridge Cambridge University Press, 2002. - ix, 270p.; hbk; 24cm. - Cambridge tracts in mathematics, no. 151 .
Includes index and references
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.
https://www.cambridge.org/core/books/frobenius-manifolds-and-moduli-spaces-for-singularities/23DC3DBC263F242EBF1E3102F61E4DF8#fndtn-information
9780521812962
Moduli theory
Singularities--Mathematic
Frobenius algebras
Real and complex analysis
Geometry
Topology
516.35 / HER
Frobenius manifolds and moduli spaces for singularities - Cambridge Cambridge University Press, 2002. - ix, 270p.; hbk; 24cm. - Cambridge tracts in mathematics, no. 151 .
Includes index and references
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.
https://www.cambridge.org/core/books/frobenius-manifolds-and-moduli-spaces-for-singularities/23DC3DBC263F242EBF1E3102F61E4DF8#fndtn-information
9780521812962
Moduli theory
Singularities--Mathematic
Frobenius algebras
Real and complex analysis
Geometry
Topology
516.35 / HER
