GAUSS–MANIN SYSTEM AND THE VIRTUAL STRUCTURE CONSTANTS

DOI10.1142/S0129167X02001368zbMath1050.32010arXivmath/0109039MaRDI QIDQ4807407

Masao Jinzenji

Publication date: 18 May 2003

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0109039

Mathematics Subject Classification ID

Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Period matrices, variation of Hodge structure; degenerations (32G20) Moduli and deformations for ordinary differential equations (e.g., Knizhnik-Zamolodchikov equation) (32G34)

Related Items

Geometrical proof of generalized mirror transformation of projective hypersurfaces, COORDINATE CHANGE OF GAUSS–MANIN SYSTEM AND GENERALIZED MIRROR TRANSFORMATION, Mirror map as generating function of intersection numbers: toric manifolds with two Kähler forms, Gromov-Witten invariants of Fano hypersurfaces, revisited, Computing genus zero Gromov-Witten invariants of Fano varieties, 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

• Summing the instantons: Quantum cohomology and mirror symmetry in toric varieties
• On the structure of the small quantum cohomology rings of projective hypersurfaces
• Mirror manifolds in higher dimension
• MIRROR SYMMETRY AND AN EXACT CALCULATION OF AN (N–2)-POINT CORRELATION FUNCTION ON A CALABI-YAU MANIFOLD EMBEDDED IN CP^N−1
• On quantum cohomology rings for hypersurfaces in CPN−1
• Equivariant Gromov - Witten Invariants