Overview

Quantum cohomology, the theory of Frobenius manifolds and the relations to integrable systems are flourishing areas since the early 90's. An activity was organized at the Max-Planck-Institute for Mathematics in Bonn, with the purpose of bringing together the main experts in these areas. This volume originates from this activity and presents the state of the art in the subject.

Full Product Details

Author:   Claus Hertling ,  Klas Diederich ,  Matilde Marcolli
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag
Edition:   Softcover reprint of the original 1st ed. 2004
Volume:   36
Dimensions:   Width: 17.00cm , Height: 2.10cm , Length: 24.00cm
Weight:   0.672kg
ISBN:  

9783322802385

ISBN 10:   3322802388
Pages:   378
Publication Date:   10 January 2012
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.
Language:   English

Table of Contents

Gauss-Manin systems, Brieskorn lattices and Frobenius structures (II).- Opposite filtrations, variations of Hodge structure, and Frobenius modules.- The jet-space of a Frobenius manifold and higher-genus Gromov-Witten invariants.- Symplectic geometry of Frobenius structures.- Unfoldings of meromorphic connections and a construction of Probenius manifolds.- Discrete torsion, symmetric products and the Hubert scheme.- Relations among universal equations for Gromov-Witten invariants.- Extended modular operad.- Operads, deformation theory and F-manifolds.- Witten’s top Chern class on the moduli space of higher spin curves.- Uniformization of the orbifold of a finite reflection group.- The Laplacian for a Frobenius manifold.- Virtual fundamental classes, global normal cones and Fulton’s canonical classes.- A note on BPS invariants on Calabi-Yau 3-folds.- List of Participants.

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Author Information

Prof. Dr. Claus Hertling, Institut fur Mathematik, Universitat Mannheim, Germany Prof. Dr. Matilde Marcolli, Max-Planck-Institute for Mathematics, Bonn, Germany

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