Hyperkahler manifolds and nonabelian Hodge theory of (irregular) curves

2012/03/29 by Philip Boalch, Boalch, Philip
Mathematics · Physics and Astronomy · #Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.AG #math.DG #math.MP #nlin.SI

paper · pdf · doi:10.48550/arxiv.1203.6607

16 pages, 2 figures, 3 tables

arxiv created 2012/03/29 · arxiv updated 2012/03/30

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.

Related

• Wild nonabelian Hodge theory on curves
• Hyperkähler manifolds
• Hyperbolicity of varieties supporting a variation of Hodge structure
• Hodge theory, algebraic cycles of hyper-Kähler manifolds
• Geometry of moduli spaces of meromorphic connections on curves, Stokes data, wild nonabelian Hodge theory, hyperkahler manifolds, isomonodromic deformations, Painleve equations, and relations to Lie theory