Frobenius Manifolds

Quantum Cohomology and Singularities

AvClaus Hertling,Matilde Marcolli

Häftad, Engelska, 2012

Del 36 i serien Aspects of Mathematics

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2012-01-10
Mått:170 x 240 x 22 mm
Vikt:670 g
Format:Häftad
Språk:Engelska
Serie:Aspects of Mathematics
Antal sidor:378
Förlag:Springer Fachmedien Wiesbaden
ISBN:9783322802385

Utforska kategorier

Matematik inom Naturvetenskap och teknik

Mer om författaren

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

Innehållsförteckning

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.