Hyperkahler manifolds and nonabelian Hodge theory of (irregular) curves

Abstract

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.

16 pages, 2 figures, 3 tables

References in corpus (1)

• Quivers and difference Painleve equations

Cited by in corpus (6)

• Argyres-Douglas Theories and S-Duality
• Landau-Ginzburg models -- old and new
• Singular modules for affine Lie algebras, and applications to irregular WZNW conformal blocks
• The birational geometry of irregular Higgs bundles
• Higgs bundles and indecomposable parabolic bundles over the projective line
• Poisson Structures on Moduli Spaces of Higgs Bundles over Stacky Curves