The space of compact self-shrinking solutions to the Lagrangian Mean Curvature Flow in ${\mathbb{C}}^2$

Jingyi Chen, John Man Shun Ma

Let $F_n:(\Sigma ,h_n)\to {\mathbb{C}}^2$ be a sequence of conformally immersed Lagrangian self-shrinkers with a uniform area upper bound to the mean curvature flow, and suppose that the…