2024/09/05 by Fangze Sheng, Sheng, Fangze
Computer Science · Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Classical Analysis and ODEs (math.CA) #Coding theory and cryptography #FOS: Mathematics
paper · pdf · doi:10.48550/arxiv.2409.03590
openalex publication_date 2024/09/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The Dubrovin conjecture predicts a relationship between the monodromy data of the Frobenius manifold associated to the quantum cohomology of a smooth projective variety and the bounded derived category of the same variety. A refinement of this conjecture was given by Cotti, Dubrovin and Guzzetti, which is equivalent to the Gamma conjecture II proposed by Galkin, Golyshev and Iritani. The Gamma conjecture II for quadrics was proved by Hu and Ke. The Lagrangian Grassmanian LG(2,4) is isomorphic to the quadric in \mathbb P4. In this paper, we give a new proof of the refined Dubrovin conjecture for the Lagrangian Grassmanian LG(2,4) by explicit computation.