Morse theory for the Yang-Mills functional via equivariant homotopy theory

DOI10.1090/S0002-9947-00-02562-9zbMath0956.58009arXivmath/0101024MaRDI QIDQ4485701

Ursula Gritsch

Publication date: 18 June 2000

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

Full work available at URL: https://arxiv.org/abs/math/0101024

zbMATH Keywords

equivariant homotopy theoryYang-Mills functionalequivariant gauge theorynon-minimal critical points

Mathematics Subject Classification ID

Equivariant homotopy theory in algebraic topology (55P91) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items (3)

Energy gap for Yang-Mills connections. I: Four-dimensional closed Riemannian manifolds ⋮ The energy identity for a sequence of Yang-Mills \(\alpha \)-connections ⋮ The homotopy type of hyperbolic monopole orbit spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Magnetic monopoles on three-manifolds
• The principle of symmetric criticality
• Non-minimal Yang-Mills fields and dynamics
• Non-self-dual Yang-Mills connections with quadrupole symmetry
• A Morse theory for equivariant Yang-Mills
• Lusternik-Schnirelman theory on Banach manifolds
• The index of elliptic operators. III
• Equivariant K-theory
• Equivariant differential topology
• Finite Group Actions on the Moduli Space of Self-Dual Connections. I
• Characteristic Classes and Homogeneous Spaces, I
• Solutions to Yang—Mills equations that are not self-dual
• Characteristic Classes. (AM-76)
• Self-duality in four-dimensional Riemannian geometry
• The Yang-Mills equations over Riemann surfaces

This page was built for publication: Morse theory for the Yang-Mills functional via equivariant homotopy theory