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Decay estimates for Yang-Mills connections and Yang-Mills-Higgs pairs in higher dimensions
Abstract
We obtain decay estimates at infinity for Yang-Mills connections and Yang-Mills-Higgs pairs on higher-dimensional manifolds. The main tool is an abstract decay theorem for manifolds with suitable positive harmonic functions. Combining this theorem with refined Kato inequalities, we prove that a natural quadratic decay assumption implies an improved decay rate on certain asymptotically conical and product manifolds.
Related
- Eliminating the Higgs field and perturbing Yang-Mills connections in cone Yang-Mills theory
- Algebraic limits of Hermitian-Yang-Mills connections on Kähler surfaces
- Nonclosure of stationary Yang-Mills connections under weak convergence
- Non-Hermitian Yang--Mills Connections with Vanishing Chern Classes
- Compactness of Cone Yang-Mills Connections
BibTeX
@misc{vieira2026decay,
title = {{Decay estimates for Yang-Mills connections and Yang-Mills-Higgs pairs in higher dimensions}},
author = {Matheus Vieira},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.16655},
eprint = {2609.16655},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.16655},
}
RIS
TY - UNPB
TI - Decay estimates for Yang-Mills connections and Yang-Mills-Higgs pairs in higher dimensions
AU - Matheus Vieira
PY - 2026
DA - 2026/09/15
PB - arXiv
DO - 10.48550/arxiv.2609.16655
UR - https://arxiv.org/abs/2609.16655
AB - We obtain decay estimates at infinity for Yang-Mills connections and Yang-Mills-Higgs pairs on higher-dimensional manifolds. The main tool is an abstract decay theorem for manifolds with suitable positive harmonic functions. Combining this theorem with refined Kato inequalities, we prove that a natural quadratic decay assumption implies an improved decay rate on certain asymptotically conical and product manifolds.
ER -