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• W2804426164 abstract "We study the refined blow-up behaviour of a sequence of Dirac-harmonic maps from degenerating spin surfaces with uniformly bounded energy in the case that the domain surfaces converge to a spin surface with only Neveu–Schwarz type nodes. For Dirac-harmonic necks appearing near the nodes, we show that the limit of the map part of each neck is a geodesic in the target manifold. Moreover, we give a length formula for the limit geodesics appearing near the node in terms of the Pohozaev type constants associated to the sequence. In particular, if the Ricci curvature of the target manifold has a positive lower bound and the Dirac-harmonic sequence has bounded index, then the limit of the map part of the necks consist of geodesics of finite length and the energy identities hold." @default.
• W2804426164 created "2018-06-01" @default.
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• W2804426164 date "2019-07-24" @default.
• W2804426164 modified "2023-09-24" @default.
• W2804426164 title "Asymptotic analysis for Dirac-harmonic maps from degenerating spin surfaces and with bounded index" @default.
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• W2804426164 doi "https://doi.org/10.1007/s00526-019-1557-5" @default.
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