Curvature Decay and the Spectrum of the Non-Abelian Laplacian on ${\mathbb{R}}^3$

Michael Wilson

I study the spectral behavior of the covariant Laplacian ${\Delta }_A=d_A^{\ast }{d}_A$ associated with smooth $\mathrm{SU}(2)$ connections on ${\mathbb{R}}^3$. The main result establishes a shar…