Title Frobenius manifolds and moduli spaces for singularities / Claus Hertling

Published Cambridge ; New York : Cambridge University Press, 2002

Click on the following:
ProQuest Ebook Central
EBSCO eBooks

Copies

Description 1 online resource (ix, 270 pages) : illustrations Series Cambridge tracts in mathematics ; 151 Cambridge tracts in mathematics ; 151. Contents Multiplication on the tangent bundle -- First examples -- Fast track through the results -- Definition and first properties of F-manifolds -- Finite-dimensional algebras -- Vector bundles with multiplication -- Definition of F-manifolds -- Decomposition of F-manifolds and examples -- F-manifolds and potentiality -- Massive F-manifolds and Lagrange maps -- Lagrange property of massive F-manifolds -- Existence of Euler fields -- Lyashko-Looijenga maps and graphs of Lagrange maps -- Miniversal Lagrange maps and F-manifolds -- Lyashko-Looijenga map of an F-manifold -- Discriminants and modality of F-manifolds -- Discriminant of an F-manifold -- 2-dimensional F-manifolds -- Logarithmic vector fields -- Isomorphisms and modality of germs of F-manifolds -- Analytic spectrum embedded differently -- Singularities and Coxeter groups -- Hypersurface singularities -- Boundary singularities -- Coxeter groups and F-manifolds -- Coxeter groups and Frobenius manifolds -- 3-dimensional and other F-manifolds -- Frobenius manifolds, Gauss-Manin 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 -- Riemann-Hilbert-Birkhoff problem -- Spectral numbers globally -- Meromorphic connections -- Logarithmic vector fields and differential forms -- Logarithmic pole along a smooth divisor -- Logarithmic pole along any divisor Summary The author presents the theory of Frobenius manifolds, as well as all the necessary tools and several applications. Readers will find here a careful study of this exciting branch of maths. This book will serve as an excellent resource for researchers and graduate students wishing to work in this area Bibliography Includes bibliographical references (pages 260-267) and index Notes English Print version record Subject Singularities (Mathematics) Frobenius algebras. Moduli theory. MATHEMATICS -- Geometry -- Algebraic. Frobenius algebras Moduli theory Singularities (Mathematics) Algebraische Geometrie Frobenius-Mannigfaltigkeit Modulraum Singularität Mathematik Form Electronic book ISBN 9780511020520 051102052X 9780511045417 0511045417 9780511543104 0511543107 9781107125643 1107125642 1280434015 9781280434013 9786610434015 6610434018 0511147740 9780511147746 0511177410 9780511177415 0511305001 9780511305009

  Permalink