In mathematical physics and gauge theory, the ADHM construction or monad construction is the construction of all instantons using methods of linear algebra by Michael Atiyah, Vladimir Drinfeld, Nigel Hitchin, Yuri I. Manin in their paper "Construction of Instantons."
In mathematical physics and gauge theory, the ADHMconstruction or monad construction is the construction of all instantons using methods of linear algebra...
ADHM may refer to ADHMconstruction in mathematical physics Advanced Healthcare Materials, a scientific journal which uses the adhm abbreviation for its...
all relevant bundles can be generated by the monad construction also known as the ADHMconstruction, hence giving a classification of instantons. Dunajski...
made important contributions to mathematical physics, including the ADHMconstruction of instantons, algebraic formalism of the quantum inverse scattering...
Atiyah–Hitchin monopole metric; the Atiyah–Hitchin–Singer theorem; the ADHMconstruction of instantons (of Michael Atiyah, Vladimir Drinfeld, Hitchin, and...
Ward's twistor construction of monopoles. The Nahm equations are formally analogous to the algebraic equations in the ADHMconstruction of instantons,...
higher ranks over other projective spaces. The Horrocks construction is used in the ADHMconstruction to construct instantons over the 4-sphere. Barth, Wolf;...
solve this problem, giving the ADHMconstruction of all instantons on a sphere; Manin and Drinfeld found the same construction at the same time, leading to...
mathematician and theoretical physicist, introduced quantum groups and ADHMconstruction, Fields Medal winner Eugene Dynkin, developed Dynkin diagram, Doob–Dynkin...
Cayley–Dickson construction Proj construction Grothendieck group Gelfand–Naimark–Segal construction Ultraproduct ADHMconstruction Burnside ring Simplicial set...
it does suffice for Yang–Mills–Higgs monopoles and instantons (see ADHMconstruction). An early attempt to overcome this restriction was the introduction...
them to algebraic vector bundles on algebraic surfaces, and via the ADHMconstruction, or hyperkähler reduction (see hyperkähler manifold), a geometric...
Hitchin's ideas on generalized complex structure, Hitchin system, and ADHMconstruction etc.. The 2-dimensional worldsheet theory is an N = (2,2) supersymmetric...
mathematician and theoretical physicist, introduced quantum groups and ADHMconstruction, Fields Medal winner Eugene Dynkin, developed Dynkin diagram, Doob–Dynkin...
mathematician and theoretical physicist, introduced quantum groups and ADHMconstruction, Fields Medal winner Eugene Dynkin, developed Dynkin diagram, Doob–Dynkin...
surfaces and whose work on vector bundles has been important for the ADHMconstruction. Until 2011 Barth was working in the Department of Mathematics at...
algebras, singularities and so on. ADHM Initials of Atiyah, Drinfeld, Hitchin, and Manin, as in the ADHMconstruction of instantons. ADM Initials of Arnowitt...
Moyal-deformed abelian sigma-model solitons. He adapted the dressing, splitting and ADHM approaches to constructing noncommutative instantons and solved the Riemann–Hilbert...
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