Energy gap for Yang-Mills connections. II: Arbitrary closed Riemannian manifolds

DOI10.1016/j.aim.2017.03.023zbMath1375.58013arXiv1502.00668OpenAlexW2134723900WikidataQ115362020 ScholiaQ115362020MaRDI QIDQ526360

Paul M. N. Feehan

Publication date: 10 May 2017

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.00668

zbMATH Keywords

gauge theoryenergy gapsCoulomb gaugeflat connectionsMorse theory on Banach manifoldsYang-Mills connectionsclosed Riemannian manifoldsLojasiewicz-Simon gradient inequalityUhlenbeck curvature estimates

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Moduli problems for differential geometric structures (58D27) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items (11)

The analysis of inhomogeneous Yang–Mills connections on closed Riemannian manifold ⋮ Energy gap for Yang-Mills connections. I: Four-dimensional closed Riemannian manifolds ⋮ A proof of energy gap for Yang-Mills connections ⋮ An energy gap for complex Yang-Mills equations ⋮ The Coulomb gauge in non-associative gauge theory ⋮ Corrigendum to: ``Energy gap for Yang-Mills connections. II: Arbitrary closed Riemannian manifolds ⋮ Łojasiewicz-Simon gradient inequalities for analytic and Morse-Bott functions on Banach spaces ⋮ Energy gaps for exponential Yang-Mills fields ⋮ Some boundedness properties of solutions to the complex Yang-Mills equations on closed 4-manifolds ⋮ Łojasiewicz–Simon gradient inequalities for coupled Yang–Mills energy functions ⋮ Optimal Łojasiewicz-Simon inequalities and Morse-Bott Yang-Mills energy functions

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