Seminar| Institute of Mathematical Sciences
Time: 4--5pm, Wednesday 22 Oct
Location: IMS, RS408
Speaker: Jiahuang Chen (AMSS)
Abstract:
Z/2 harmonic 1-forms were introduced by C. Taubes in a generalization of the Uhlenbeck compactness theorem.
They can also be used to describe the branched deformation of special Lagrangian submanifolds.
In this talk, I will explain a perturbation result for nondegenerate Z/2 harmonic 1-forms that generalizes Ko Honda’s transversality theorem for harmonic 1-forms.
As an application, I will show that the number of the 1-dimensional components of the zero set can be reduced on rational homology 3-spheres.
The method relies on Calabi’s trick, originally used in the study of intrinsically harmonic 1-forms.