On cyclic Higgs bundles
Publication type: Journal Article
Publication date: 2018-11-15
scimago Q1
wos Q1
SJR: 2.292
CiteScore: 2.8
Impact factor: 1.4
ISSN: 00255831, 14321807
General Mathematics
Abstract
In this paper, we derive a maximum principle for a type of elliptic systems and apply it to analyze the Hitchin equation for cyclic Higgs bundles. We show several domination results on the pullback metric of the (possibly branched) minimal immersion f associated to cyclic Higgs bundles. Also, we obtain a lower and upper bound of the extrinsic curvature of the image of f. As an application, we give a complete picture for maximal $$Sp(4,{\mathbb {R}})$$-representations in the $$2g-3$$ Gothen components and the Hitchin components.
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Metrics
14
Total citations:
14
Citations from 2024:
8
(57.14%)
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MLA
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RIS
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TY - JOUR
DO - 10.1007/s00208-018-1779-4
UR - https://doi.org/10.1007/s00208-018-1779-4
TI - On cyclic Higgs bundles
T2 - Mathematische Annalen
AU - Dai, Song
AU - Li, Qiongling
PY - 2018
DA - 2018/11/15
PB - Springer Nature
SP - 1225-1260
IS - 3-4
VL - 376
SN - 0025-5831
SN - 1432-1807
ER -
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BibTex (up to 50 authors)
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@article{2018_Dai,
author = {Song Dai and Qiongling Li},
title = {On cyclic Higgs bundles},
journal = {Mathematische Annalen},
year = {2018},
volume = {376},
publisher = {Springer Nature},
month = {nov},
url = {https://doi.org/10.1007/s00208-018-1779-4},
number = {3-4},
pages = {1225--1260},
doi = {10.1007/s00208-018-1779-4}
}
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MLA
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Dai, Song, and Qiongling Li. “On cyclic Higgs bundles.” Mathematische Annalen, vol. 376, no. 3-4, Nov. 2018, pp. 1225-1260. https://doi.org/10.1007/s00208-018-1779-4.