Gauge Theory Techniques in Quantum Cohomology
Differential Geometry
2007-05-23 v2 Algebraic Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.math/0010112,
title = {Gauge Theory Techniques in Quantum Cohomology},
author = {S. Rosenberg and M. Vajiac},
journal= {arXiv preprint arXiv:math/0010112},
year = {2007}
}