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Convergence of almost harmonic maps to geodesic bubble trees

Abstract:

We prove a sharp criterion on the decay of the tension of almost harmonic maps from degenerating surfaces that ensures that such maps subconverge to a limiting object that is made up entirely of harmonic maps.

Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/s12220-026-02445-6

Authors

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
Trinity College
Role:
Author
ORCID:
0000-0002-9139-1400


Publisher:
Springer
Journal:
Journal of Geometric Analysis More from this journal
Volume:
36
Issue:
6
Article number:
213
Publication date:
2026-05-11
Acceptance date:
2026-04-02
DOI:
EISSN:
1559-002X
ISSN:
1050-6926


Language:
English
Pubs id:
2401346
Local pid:
pubs:2401346
Deposit date:
2026-04-07
ARK identifier:

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