On the Evolution of Regularized Dirac-Harmonic Maps from Closed Surfaces

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 evol...

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Detalles Bibliográficos
Autor principal: Branding, Volker
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7080694/
https://www.ncbi.nlm.nih.gov/pubmed/32214888
http://dx.doi.org/10.1007/s00025-020-1178-5
Descripción
Sumario: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.

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