Convergence of Type IIA manifolds and application to the Type IIA flow

TL;DR

This paper studies the convergence and singularity formation of the Type IIA flow on 6-dimensional symplectic manifolds, providing new theorems and models for understanding its behavior.

Contribution

It formulates and proves convergence theorems for the Type IIA flow and describes the singularity models, advancing understanding of this geometric flow.

Findings

Established convergence theorems for the Type IIA flow

Characterized singularity models for the flow

Enhanced understanding of flow behavior on symplectic manifolds

Abstract

The Type IIA flow is a flow of 3-forms on a 6-dimensional symplectic manifold. It was introduced by Fei, Phong, Picard, and Zhang in \cite{FPPZb}. There is little known about the singularities of this flow in general. We formulate and prove convergence theorems for this flow. We also describe the singularity models for this flow.