# Dirac-harmonic maps from degenerating spin surfaces I: the Neveu-Schwarz case - Mathematics > Differential Geometry

Dirac-harmonic maps from degenerating spin surfaces I: the Neveu-Schwarz case - Mathematics > Differential Geometry - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Abstract: We study Dirac-harmonic maps from degenerating spin surfaces with uniformlybounded energy and show the so-called generalized energy identity in the casethat the domain converges to a spin surface with only Neveu-Schwarz type nodes.We find condition that is both necessary and sufficient for the \$W^{1,2} \timesL^{4}\$ modulo bubbles compactness of a sequence of such maps.

Autor: Miaomiao Zhu

Fuente: https://arxiv.org/