Asymptotic Geometry of the Moduli Space of Parabolic $SL(2,\mathbb{C})$-Higgs Bundles

Laura Fredrickson, Rafe Mazzeo, Jan Swoboda +1

Given a generic stable strongly parabolic $SL(2,\mathbb{C})$-Higgs bundle $(\mathcal{E},\phi )$, we describe the family of harmonic metrics $h_t$ for the ray of Higgs bundles $(\mathc…