Nahm's equations and free-boundary problems

2007/09/03 by Donaldson, S. K.
#35J65 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.0709.0184

Abstract

This paper is a discussion of relations between some free-boundary problems and infinite dimensional Lie groups; particularly a version of Nahm's equations for the group of Hamiltonian diffeomorphisms in two dimensions.

Related

• Lie groups, Nahm's equations and hyperkaehler manifolds
• Geometry and dynamics on the free solvable groups
• Fundamental problems in the theory of infinite-dimensional Lie groups
• Nahm's, Basu-Harvey-Terashima's equations and Lie superalgebras
• Diophantine geometry over groups and the elementary theory of free and hyperbolic groups