TY - GEN AU - Hertling, Claus TI - Frobenius manifolds and moduli spaces for singularities SN - 9780521812962 U1 - 516.35 PY - 2002/// CY - Cambridge PB - Cambridge University Press KW - Moduli theory KW - Singularities--Mathematic KW - Frobenius algebras KW - Real and complex analysis KW - Geometry KW - Topology N1 - Includes index and references N2 - 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 ER -