Dividing sets as nodal sets of an eigenfunction of the Laplacian
Abstract
We show that for any convex surface S in a contact 3-manifold, there exists a metric on S and a neighbourhood contact isotopic to S × I with contact structure given as (ud - du) where u is an eigenfunction of the Laplacian on S, and is the Hodge star from the metric on S. This answers a question posed by Komendarczyk.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.