摘要
We derive some quadratic recursion relations for some Hodge integrals by virtual localization and obtain many closed formulas. We apply our formulas to the local geometry of toric Fano surfaces in a Calabi-Yau threefold and compute some of the numbers $n_\beta ^g$ in Gopakumar-Vafa's formula for all g in this case.
We derive some quadratic recursion relations for some Hodge integrals by virtual localization and obtain many closed formulas. We apply our formulas to the local geometry of toric Fano surfaces in a Calabi-Yau threefold and compute some of the numbers $n_\beta ^g$ in Gopakumar-Vafa's formula for all g in this case.
