Refined floor diagrams relative to a conic and Caporaso-Harris type formula

Yanqiao Ding, Jianxun Hu

We prove a $q$-refined correspondence theorem between higher genus relative Gromov-Witten invariants with a Lambda class $\hat{I}{»}_{g-g^{\prime }}$ insertion in the blow-up of ${\mathbb{P}}^2$ at $…