Local Gromov-Witten invariants of Blowups of Fano surfaces
arXiv:1006.4233 · doi:10.1016/j.geomphys.2011.02.004
Abstract
In this paper, using the degeneration formula we obtain a blowup formulae of local Gromov-Witten invariants of Fano surfaces. This formula makes it possible to compute the local Gromov-Witten invariants of non-toric Fano surfaces form toric Fano surface, such as del Pezzo surfaces. This formula also verifed an expectation of Chiang-Klemm-Yau-Zaslow.
13 pages