Frobenius Manifolds

Quantum Cohomology and Singularities

Häftad, Engelska, 2012

Av Claus Hertling, Matilde Marcolli, Klas Diederich

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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

Utgivningsdatum2012-01-10
Mått170 x 240 x 22 mm
Vikt670 g
FormatHäftad
SpråkEngelska
SerieAspects of Mathematics
Antal sidor378
FörlagSpringer Fachmedien Wiesbaden
ISBN9783322802385

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Matematik inom Naturvetenskap och teknik

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.