1D Landau-Ginzburg Superpotential of Big Quantum Cohomology of ℂℙ²

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2025
• 1. Verfasser: Almeida, Guilherme F.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2025
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/213177
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: 1D Landau-Ginzburg Superpotential of Big Quantum Cohomology of ℂℙ². Guilherme F. Almeida. SIGMA 21 (2025), 038, 65 pages

Using the inverse period map of the Gauss-Manin connection associated with *(ℂℙ²) and the Dubrovin construction of Landau-Ginzburg superpotential for Dubrovin-Frobenius manifolds, we construct a one-dimensional Landau-Ginzburg superpotential for the quantum cohomology of ℂℙ². In the case of small qu...