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

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Zhu, Miaomiao. (2009) Dirac-harmonic maps from degenerating spin surfaces I : the Neveu–Schwarz case. Calculus of Variations and Partial Differential Equations, Vol.35 (No.2). pp. 169-189. ISSN 0944-2669

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Official URL: http://dx.doi.org/10.1007/s00526-008-0201-6

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 × L 4 modulo bubbles compactness of a sequence of such maps.

Item Type: Journal Article
Divisions: Faculty of Science > Mathematics
Journal or Publication Title: Calculus of Variations and Partial Differential Equations
Publisher: Springer
ISSN: 0944-2669
Date: 2009
Volume: Vol.35
Number: No.2
Page Range: pp. 169-189
Identification Number: 10.1007/s00526-008-0201-6
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
URI: http://wrap.warwick.ac.uk/id/eprint/49000

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