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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
26/2008

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

Miaomiao Zhu

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.

Received:
Mar 26, 2008
Published:
Mar 26, 2008
MSC Codes:
58J05, 53C27
Keywords:
Dirac-harmonic maps, generalized energy identity, Neveu-Schwarz

Related publications

inJournal
2009 Journal Open Access
Miaomiao Zhu

Dirac-harmonic maps from degenerating spin surfaces Pt. 1 : The Neveu-Schwarz case

In: Calculus of variations and partial differential equations, 35 (2009) 2, pp. 169-189