Homology operations on instantons

DOI10.4310/jdg/1214442472zbMath0666.55003OpenAlexW1577947291WikidataQ115183469 ScholiaQ115183469MaRDI QIDQ1116491

Benjamin M. Mann, Charles P. Boyer

Publication date: 1988

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214442472

zbMATH Keywords

moduli spaces of instantonsJ-homomorphismfourfold iterated loop spacehomology of moduli spacesinstanton numbersiterated loop space operationsloop sum mapSp(1)

Mathematics Subject Classification ID

Loop spaces (55P35) Constructive quantum field theory (81T08) Homology and cohomology theories in algebraic topology (55N99)

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Homology of the double and triple loop space of \(SO(n)\), Monopoles, non-linear \(\sigma\) models, and two-fold loop spaces, The Atiyah-Jones Conjecture, Holomorphic curves in loop groups, Holomorphic bundles on the blown-up plane and the bar construction, Classifying Spaces and Dirac Operators Coupled to Instantons, The geometry of gauge fields, Holomorphic maps from compact manifolds into loop groups as Blaschke products, The based \(\text{SU}(n)\)-instanton moduli spaces, Algebraic cycles and infinite loop spaces