Hartmut Weiss

I will report on joint work with Rafe Mazzeo, Jan Swoboda and Frederik Witt in which we describe solutions of Hitchin’s equation which lie close to the boundary at infinity of the Higgs bundle moduli space. These solutions are constructed via gluing methods. This is the first step of a larger project aimed at studying the asymptotics of the complete hyperkähler metric on this moduli space.