Asymptotic behaviour of instantons on cylinder manifolds

DOI10.1007/s00229-019-01124-xzbMath1437.58014arXiv1801.06959OpenAlexW2795372185WikidataQ125026844 ScholiaQ125026844MaRDI QIDQ2309424

Teng Huang

Publication date: 1 April 2020

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.06959

zbMATH Keywords

Riemannian manifoldYang-Mills equationcompact Lie groupHodge star operatorinstanton equation

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items

\(L^2\) harmonic forms on complete special holonomy manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(G_{2}\)-instantons on generalised Kummer constructions
• Generalised Chern-Simons theory and \(G_{2}\)-instantons over associative fibrations
• Instantons on cylindrical manifolds
• Yang-Mills flows on nearly Kähler manifolds and \(G_{2}\)-instantons
• Casson's invariant and gauge theory
• Instantons and Yang-Mills flows on coset spaces
• A monotonicity formula for Yang-Mills fields
• The Chern classes of Sobolev connections
• Connections with \(L^ p \)bounds on curvature
• A generalization of the notion of instanton
• Yang-Mills solutions and \(\mathrm{Spin}(7)\)-instantons on cylinders over coset spaces with \(G_2\)-structure
• An energy gap for complex Yang-Mills equations
• Gauge theory and calibrated geometry. I
• Yang-Mills instantons and dyons on homogeneous \(G_{2}\)-manifolds
• \(G_{2}\)-instantons over asymptotically cylindrical
• Instantons and Killing spinors
• \(\mathrm{G}_{2}\)-instantons over twisted connected
• Stable Yang-Mills connections on special holonomy manifolds
• Gauge Theory in higher dimensions, II