Higher-degree Smoothness of Perturbations II

TL;DR

This paper extends higher-degree smoothness results in perturbation theory from fixed domain cases to more general genus zero cases, broadening the applicability of these mathematical techniques.

Contribution

It generalizes existing smoothness results in perturbation theory from fixed domain to arbitrary genus zero cases, enhancing theoretical understanding.

Findings

Extended smoothness results to genus zero cases

Broadened applicability of perturbation theory techniques

Provided new mathematical tools for genus zero analysis

Abstract

In this paper we generalize the higher-degree smoothness results in perturbation theory from the case that the stable maps have the fixed domain $S^2$ to the general genus zero case.