On the evolution of regularized Dirac-harmonic Maps from closed surfaces
Differential Geometry
2020-07-06 v2 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
We study the evolution equations for a regularized version of Dirac-harmonic maps from closed Riemannian surfaces. We establish the existence of a global weak solution for the regularized problem, which is smooth away from finitely many singularities. Moreover, we discuss the convergence of the evolution equations and address the question if we can remove the regularization in the end.
Keywords
Cite
@article{arxiv.1406.6274,
title = {On the evolution of regularized Dirac-harmonic Maps from closed surfaces},
author = {Volker Branding},
journal= {arXiv preprint arXiv:1406.6274},
year = {2020}
}