Hyperkahler manifolds and nonabelian Hodge theory of (irregular) curves

Short survey based on talk given at the Institut Henri Poincare January 17th 2012, during program on surface groups. The aim was to describe some background results before describing in detail (in subsequent talks) the results of [Boa11c] related to wild character varieties and irregular mapping class groups.

💡 Research Summary

The paper is a concise survey that prepares the ground for a series of talks on the hyperkähler geometry and non‑abelian Hodge theory associated with irregular (or “wild”) curves, based on a lecture delivered at the Institut Henri Poincaré on 17 January 2012. Its primary purpose is to collect and clarify the background material that underlies the more technical results presented later in Boalch’s 2011 work (referenced as