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 nβg in Gopakumar-Vafa's formula for all g in this case.
All Science Journal Classification (ASJC) codes
- Applied Mathematics
- BPS numbers
- Hodge integrals