Monopoles, non-linear \(\sigma\) models, and two-fold loop spaces

DOI10.1007/BF01224128zbMath0656.58049OpenAlexW1479695831MaRDI QIDQ1110166

Charles P. Boyer, Benjamin M. Mann

Publication date: 1988

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01224128

zbMATH Keywords

moduli spacemonopolesloop spacesYang-Mills-HiggsBogomol'nyi equationnonlinear quantum field theory

Mathematics Subject Classification ID

Applications of global analysis to the sciences (58Z05) Loop spaces (55P35) General mathematical topics and methods in quantum theory (81Q99)

Related Items (16)

The homotopy type of spaces of coprime polynomials revisited ⋮ The topology of the space of rational maps into generalized flag manifolds ⋮ The homotopy type of spaces of resultants of bounded multiplicity ⋮ Homological stability properties of spaces of rational \(J\)-holomorphic curves in \(\mathbb P^{2}\) ⋮ The modulo 2 homology group of the space of rational functions ⋮ Moduli space of SU(2) monopoles and complex cyclic-Toda hierarchy ⋮ The topology of rational functions and divisors of surfaces ⋮ Remarks on spaces of real rational functions ⋮ Homology of iterated loop spaces of homogeneous spaces associated with exceptional Lie groups ⋮ A cell decomposition of the space of real Hankel matrices of rank \(\leq n\) and some applications ⋮ The topology of the space of \(J\)-holomorphic maps to \(\mathbb C\mathbb P^2\) ⋮ The geometry of gauge fields ⋮ Nonabelian Poincaré duality after stabilizing ⋮ Monopoles, braid groups, and the Dirac operator ⋮ Algebraic cycles and infinite loop spaces ⋮ The homotopy type of rational functions

Cites Work

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• Harmonic maps from surfaces to complex projective spaces
• Path-connected Yang-Mills moduli spaces
• Low energy scattering of nonabelian monopoles.
• The existence of a non-minimal solution to the SU(2) Yang-Mills-Higgs equations on \(R^ 3.\) I
• On the construction of monopoles
• Integrality of the monopole number in SU(2) Yang-Mills-Higgs theory on \({\mathbb{R}}^ 3\)
• Instantons in two and four dimensions
• Instantons and geometric invariant theory
• Min-max theory for the Yang-Mills-Higgs equations
• Monopoles and rational maps: A note on a theorem of Donaldson
• Monopoles and maps from \(S^ 2\) to \(S^ 2\); the topology of the configuration space
• Nahm's equations and the classification of monopoles
• Homology operations on instantons
• Homology operations and loop spaces
• Construction of instantons
• The topology of spaces of rational functions
• Monopoles and geodesics
• Restrictions on harmonic maps of surfaces
• The homology of iterated loop spaces
• Topological aspects of Yang-Mills theory
• Homotopy invariant algebraic structures on topological spaces
• The geometry of iterated loop spaces
• Configuration-spaces and iterated loop-spaces
• Infinite Loop Spaces (AM-90)
• The topological structure of the space of algebraic varieties
• Homology of Iterated Loop Spaces

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