Gromov Witten Invariants of Blow Ups of P² using Logarithmic Geometry

Abstract

We show that Parker’s recursion for computing Gromov-Witten invariants of blow ups of P² can be derived using logarithmic Gromov-Witten theory and punctured maps. We extend the recursion to compute Gromov-Witten invariants with Hodge class insertions.