Abstract
In this paper, we consider the stability, semi-stability and canonical metric structures on transverse Higgs bundles over a class of foliation manifolds, also a transversal Bogomolov inequality is obtained.
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Acknowledgements
This work was supported by National Natural Science Foundation of China (Grant Nos. 11625106, 11571332 and 11721101).
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Wu, D., Zhang, X. Higgs bundles over foliation manifolds. Sci. China Math. 64, 399–420 (2021). https://doi.org/10.1007/s11425-019-1736-4
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DOI: https://doi.org/10.1007/s11425-019-1736-4
Keywords
- foliation manifold
- Higgs bundle
- (approximate) transverse Hermitian-Einstein
- transversal Bogomolov inequality