12 citations · 18 across the 4 of their papers we have counts for
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Dirac-Harmonic Maps
Qun Chen, Juergen Jost, Jiayu Li +1
We introduce a functional that couples the nonlinear sigma model with a spinor field: $L=\int_M[|dϕ|^2+(ψ,\Dψ)]$. In two dimensions, it is conformally invariant. The critical point…
The mean curvature flow approach to the symplectic isotopy problem
Xiaoli Han, Jiayu Li
Let be a Kähler-Einstein surface with positive scalar curvature. If the initial surface is sufficiently close to a holomorphic curve, we show that the mean curvature flow has a…
Singularities of codimension two mean curvature flow of symplectic surfaces
Jingyi Chen, Jiayu Li
We prove that for a mean curvature flow of a compact symplectic surface in a compact Kaehler-Einstein surface, the tangent cone at the first blow-up time consists of a finite union…
Harmonic Hopf Constructions Between Spheres II
Weiyue Ding, Huijun Fan, Jiayu Li
We prove that a necessary condition for the existence of the remaining problem in the harmonic Hopf construction is also sufficient. We also give some topological applications base…