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Dirac-harmonic maps from degenerating spin surfaces I: the Neveu-Schwarz case

Authors
  • Zhu, Miaomiao
Type
Published Article
Publication Date
Mar 26, 2008
Submission Date
Mar 26, 2008
Identifiers
arXiv ID: 0803.3723
Source
arXiv
License
Unknown
External links

Abstract

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

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