Aidan Backus

collaborators

3 papers

math.DG2024

The canonical lamination calibrated by a cohomology class

Aidan Backus

Let $M$ be a closed oriented Riemannian manifold of dimension $2 \leq d \leq 7$ , and let $ρ \in H^{d - 1} (M, R)$ have unit norm. We construct a lamination $λ_{ρ}$ whose leaves…

math.AP2024

An $\infty$ -Laplacian for differential forms, and calibrated laminations

Aidan Backus

Motivated by Thurston and Daskalopoulos--Uhlenbeck's approach to Teichmüller theory, we study the behavior of $q$ -harmonic functions and their $p$ -harmonic conjugates in the limit…

math.AP2023

Minimal laminations and level sets of 1-harmonic functions

Aidan Backus

We collect several results concerning regularity of minimal laminations, and governing the various modes of convergence for sequences of minimal laminations. We then apply this the…

The canonical lamination calibrated by a cohomology class

An ∞-Laplacian for differential forms, and calibrated laminations

Minimal laminations and level sets of 1-harmonic functions

An $\infty$ -Laplacian for differential forms, and calibrated laminations