2007/09/24 by Vincent Bouchard, Renzo Cavalieri
Mathematics · Physics and Astronomy · #math.AG #hep-th
published as Adv. Theor. Math. Phys. 13:695-719, 2009 · 17 pages, 2 figures
arxiv created 2007/09/24 · arxiv updated 2014/11/18
This paper wishes to foster communication between mathematicians and physicists working in mirror symmetry and orbifold Gromov-Witten theory. We provide a reader friendly review of the physics computation in [arXiv:hep-th/0607100] that predicts Gromov-Witten invariants of [C3/Z3] in arbitrary genus, and of the mathematical framework for expressing these invariants as Hodge integrals. Using geometric properties of the Hodge classes, we compute the unpointed invariants for g=2,3, thus providing the first high genus mathematical check of the physics predictions.