Browsing by Author "Acosta, Jorge A."

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    Holonomy Limits of Cyclic Opers
    (2016-04-20) Acosta, Jorge A.; Wolf, Michael
    Given a Riemann surface $X = (\Sigma, J)$, we find an expression for the dominant term for the asymptotics of the holonomy of opers over that Riemann surface corresponding to rays in the Hitchin base of the form $(0,0,\cdots,t\omega_n)$. Moreover, we find an associated equivariant map from the universal cover $(\tilde{\Sigma},\tilde{J})$ to the symmetric space SL$_n(\mathbb{C}) / \mbox{SU}(n)$ and show that limits of these maps tend to a sub-building in the asymptotic cone. That sub-building is explicitly constructed from the local data of $\omega_n$.