2000/10/11 by S. Rosenberg, Rosenberg, S., M. Vajiac +1
Mathematics · #Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics #math.AG #math.DG
paper · pdf · doi:10.48550/arxiv.math/0010112
arxiv created 2000/10/11 · arxiv updated 2009/11/30
Quantum cohomology gives a finite dimensional integrable system via the Dubrovin connection. Motivated by Givental's work on mirror symmetry, we use gauge theory techniques and the Frobenius Integrability Theorem to find flat sections for the Dubrovin connection. An explicit calculation is given for projective space.