Rational curves on Calabi-Yau manifolds: verifying predictions of Mirror Symmetry

zbMath0839.14043arXivalg-geom/9301006MaRDI QIDQ4318813

Sheldon Katz

Publication date: 23 June 1996

Full work available at URL: https://arxiv.org/abs/alg-geom/9301006

zbMATH Keywords

Calabi-Yau manifoldsmirror symmetryquantum cohomologyMapleCalabi-Yau hypersurfacesnumber of rational curves

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Enumerative problems (combinatorial problems) in algebraic geometry (14N10) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Computational aspects of algebraic curves (14Q05)

Related Items

One-instanton prepotentials from WDVV equations in N=2 supersymmetric SU(4) Yang–Mills theory, Summing the instantons: Quantum cohomology and mirror symmetry in toric varieties, Unification of M- and F-theory Calabi-Yau fourfold vacua, Bott’s formula and enumerative geometry, The genus 0 Gromov-Witten invariants of projective complete intersections, Mirror symmetry for closed, open, and unoriented Gromov-Witten invariants

Uses Software

• Maple