Dirac-harmonic maps from degenerating spin surfaces I: the Neveu-Schwarz case
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Submission date: 26. Mar. 2008
published in: Calculus of variations and partial differential equations, 35 (2009) 2, p. 169-189
DOI number (of the published article): 10.1007/s00526-008-0201-6
MSC-Numbers: 58J05, 53C27
Keywords and phrases: Dirac-harmonic maps, generalized energy identity, Neveu-Schwarz
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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 modulo bubbles compactness of a sequence of such maps.