Geometry and Topology Seminar

Dashen Yan, Stony Brook University

Non-degenerate Z_2 harmonic 1-forms with shrinking branching sets

In this talk, we will explain the technical aspects of the gluing construction presented in Thursday’s talk. Specifically, we adapt Donaldson’s framework for deforming multivalued harmonic functions to our gluing setting and establish a weighted version of the Hamilton–Nash–Moser–Zehnder implicit function theorem to prove the gluing result.