COORDINATE CHANGE OF GAUSS–MANIN SYSTEM AND GENERALIZED MIRROR TRANSFORMATION

DOI10.1142/S0217751X05020641zbMath1067.81117arXivmath/0310212MaRDI QIDQ5311626

Masao Jinzenji

Publication date: 23 August 2005

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0310212

zbMATH Keywords

mirror symmetryalgebraic geometryTopological field theoryGromov--Witten invariants

Mathematics Subject Classification ID

Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Topological field theories in quantum mechanics (81T45)

Related Items (8)

Geometrical proof of generalized mirror transformation of projective hypersurfaces ⋮ J FUNCTIONS, NON-NEF TORIC VARIETIES AND EQUIVARIANT LOCAL MIRROR SYMMETRY OF CURVES ⋮ Global mirrors and discrepant transformations for toric Deligne-Mumford stacks ⋮ Mirror map as generating function of intersection numbers: toric manifolds with two Kähler forms ⋮ Convergence of quantum cohomology by quantum Lefschetz ⋮ Direct proof of the mirror theorem for projective hypersurfaces up to degree 3 rational curves ⋮ Virtual structure constants as intersection numbers of moduli space of polynomial maps with two marked points ⋮ OPEN VIRTUAL STRUCTURE CONSTANTS AND MIRROR COMPUTATION OF OPEN GROMOV–WITTEN INVARIANTS OF PROJECTIVE HYPERSURFACES

Cites Work

• On the structure of the small quantum cohomology rings of projective hypersurfaces
• Mirror principle. III
• Gromov-Witten classes, quantum cohomology, and enumerative geometry
• GAUSS–MANIN SYSTEM AND THE VIRTUAL STRUCTURE CONSTANTS
• Another way to enumeration of rational curves with torus actions

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