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math.DG2004
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…
math.DG2004★ 1 cited
Regularity Theorems and Energy Identities for Dirac-Harmonic Maps
Qun Chen, Juergen Jost, Guofang Wang +1
We study a new set of coupled field equations motivated by the non-linear supersymmetric sigma model of quantum field theory. These equations couple a map into a Riemannian manifol…
math.DG2004★ 1 cited
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…