Łojasiewicz–Simon gradient inequalities for coupled Yang–Mills energy functions

DOI10.1090/memo/1302zbMath1466.58001arXiv1510.03815OpenAlexW2203786939MaRDI QIDQ4983685

Manousos Maridakis, Paul M. N. Feehan

Publication date: 26 April 2021

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.03815

zbMATH Keywords

gauge theorysmooth four-dimensional manifoldsLojasiewicz-Simon gradient inequalitycoupled Yang-Mills equationsMorse-Bott theory on Banach manifolds

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Moduli problems for differential geometric structures (58D27) Applications of global analysis to structures on manifolds (57R57) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Research exposition (monographs, survey articles) pertaining to global analysis (58-02) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15) Morse-Smale systems (37D15)

Related Items (5)

The Coulomb gauge in non-associative gauge theory ⋮ On the Morse-Bott property of analytic functions on Banach spaces with Łojasiewicz exponent one half ⋮ Energy gap for Yang-Mills connections. II: Arbitrary closed Riemannian 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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