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

2022/10/11 by Klemyatin, Nikita
#Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.2210.05082

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 \citeFPPZb. 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.

Related

• Convergence of Hermitian manifolds and the Type IIB flow
• Geometric Flows for the Type IIA String
• F-harmonic 3-forms and the Type IIA flow on 6-dimensional symplectic Lie algebras
• Stability of the Type IIA flow and its applications in symplectic geometry
• Symplectic geometric flows